500 (number)

(Redirected from 515 (number))
 ← 499 500 501 →
Cardinal five hundred
Ordinal 500th
(five hundredth)
Factorization 22× 53
Greek numeral Φ´
Roman numeral D
Binary 1111101002
Ternary 2001123
Quaternary 133104
Quinary 40005
Senary 21526
Octal 7648
Duodecimal 35812
Vigesimal 15020
Base 36 DW36

500 (five hundred) is the natural number following 499 and preceding 501.

Mathematical properties

500 is a Harshad number in bases 5, 6, 10, 11, 13, 15 and 16.

Other fields

Five hundred is also

Slang names

• Monkey (UK slang for £500; USA slang for \$500)[1]

Integers from 501 to 599

500s

501

501 = 3 × 167. It is:

• the sum of the first 18 primes (a term of the sequence ).
• palindromic in bases 9 (6169) and 20 (15120).

502

502 = 2 × 251, also a proposed HTTP status code for indicating server is temporarily overloaded, SMTP status code meaning command not implemented

503 is:

504

504 = 23 × 32 × 7. It is:

505

505 = 5 × 101, Harshad number in bases 3, 5 and 6

This number is the magic constant of n×n normal magic square and n-queens problem for n = 10.

New Mexico – Before October 7, 2007, The United States state of New Mexico had a single area code[9] of 505, the state was, and still is, referred to as 'the 505' in slang.

506

506 = 2 × 11 × 23. It is:

507

507 = 3 × 132, Harshad number in bases 13 and 14.

508

508 = 22 × 127, sum of four consecutive primes (113 + 127 + 131 + 137), Harshad number in base 13.

509 is:

510s

510

510 = 2 × 3 × 5 × 17. It is:

• the sum of eight consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
• the sum of ten consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71).
• the sum of twelve consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67).
• a nontotient.
• a sparsely totient number.[13]
• a Harshad number in bases 3, 5, 6, 10, 11, 12, 13, 15 and 16

511

511 = 7 × 73. It is:

512 = 29. It is:

513

513 = 33 × 19. It is:

• palindromic in bases 2 (10000000012), 8 (10018), 26 (JJ26) and 56 (9956)
• a Harshad number in bases 3, 4, 5, 7, 9, 10, 13, 14, 15 and 16
• Area code of Cincinnati, Ohio

514

514 = 2 × 257, it is:

515

515 = 5 × 103, it is:

• the sum of nine consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73).
• a Harshad number in bases 3, 4 and 16.

516

516 = 22 × 3 × 43, it is:

517

517 = 11 × 47, it is:

• the sum of five consecutive primes (97 + 101 + 103 + 107 + 109).
• a Smith number.[17]
• a Harshad number in base 12.

518

518 = 2 × 7 × 37, it is:

• = 51 + 12 + 83 (a property shared with 175 and 598).
• a sphenic number.
• a nontotient.
• an untouchable number.[16]
• palindromic and a repdigit in bases 6 (22226) and 36 (EE36).
• a Harshad number in bases 8, 9, 10, 13 and 15.

519

519 = 3 × 173, it is:

• the sum of three consecutive primes (167 + 173 + 179)
• palindromic in bases 9 (6369) and 12 (37312).

520s

520

520 = 23 × 5 × 13. It is:

• an untouchable number.[16]
• a palindromic number in bases 14 (29214), 25 (KK25), 39 (DD39), 51 (AA51) and 64 (8864).
• a Harshad number in bases 2, 4, 5, 6, 7, 8, 11, 13, 14 and 16.

521

521 is:

• a Lucas prime.[18]
• a Chen prime.
• an Eisenstein prime with no imaginary part.
• palindromic in bases 11 (43411) and 20 (16120)

522

522 = 2 × 32 × 29. It is:

• the sum of six consecutive primes (73 + 79 + 83 + 89 + 97 + 101).
• palindromic and a repdigit in bases 28 (II28) and 57 (9957).
• a Harshad number in bases 2, 4, 10, 13 and 15.

523

523 is:

• a prime number.
• the sum of seven consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89).
• palindromic in bases 13 (31313) and 18 (1B118).

524 = 22 × 131

525

525 = 3 × 52 × 7. It is:

• palindromic in bases 10 (52510), 24 (LL24) and 34 (FF34).
• a Harshad number in bases 3, 5, 8, 11, 15 and 16.
• the number of scan lines in the NTSC television standard.

526

526 = 2 × 263, centered pentagonal number,[19] nontotient, Smith number[17]

527

527 = 17 × 31. it is:

• palindromic in bases 15 (25215) and 30 (HH30).
• a Harshad number in bases 11 and 16.
• also, the section of the US Tax Code regulating soft money political campaigning (see 527 groups)

528

528 = 24 × 3 × 11. It is:

• a triangular number.
• palindromic in bases 9 (6469), 17 (1E117), 23 (MM23), 32 (GG32), 43 (CC43) and 47 (BB47).
• a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13 and 16.

529

529 = 232. It is:

530s

530

530 = 2 × 5 × 53. It is:

• a sphenic number.
• a nontotient.
• the sum of totient function for first 41 integers.
• an untouchable number.[16]
• the sum of the first three perfect numbers.
• palindromic in bases 4 (201024), 16 (21216), 23 (10123) and 52 (AA52).
• a Harshad number in bases 4, 6, 8, 11 and 16.

531

531 = 32 × 59. It is:

• palindromic in bases 12 (38312) and 58 (9958).
• a Harshad number in base 10.

532

532 = 22 × 7 × 19. It is:

• a pentagonal number.[21]
• a nontotient.
• palindromic and a repdigit in bases 11 (44411), 27 (JJ27) and 37 (EE37).
• a Harshad number in bases 4, 8, 15 and 16.

533

533 = 13 × 41. It is:

• the sum of three consecutive primes (173 + 179 + 181).
• the sum of five consecutive primes (101 + 103 + 107 + 109 + 113).
• palindromic in bases 19 (19119) and 40 (DD40).
• a Harshad number in bases 6, 9, 11 and 14.

534

534 = 2 × 3 × 89. It is:

• a sphenic number.
• the sum of four consecutive primes (127 + 131 + 137 + 139).
• a nontotient.
• palindromic in bases 5 (41145) and 14 (2A214).
• a Harshad number in bases 3, 4 and 13.

535

535 = 5 × 107. It is:

• a Smith number.[17]
• a Harshad number in base 2.

${\displaystyle 34n^{3}+51n^{2}+27n+5}$ for ${\displaystyle n=2}$; this polynomial plays an essential role in Apéry's proof that ${\displaystyle \zeta (3)}$ is irrational.

535 is used as an abbreviation for May 35, which is used in China instead of June 4 to evade censorship by the Chinese government of references on the Internet to the Tiananmen Square protests of 1989.[22]

536

536 = 23 × 67. It is:

• the number of ways to arrange the pieces of the stomachion puzzle into a square, not counting rotation or reflection.
• a refactorable number.[8]
• the lowest happy number beginning with the digit 5.
• a Harshad number in bases 3, 5, 8 and 13.

537

537 = 3 × 179, Mertens function (537) = 0

538

538 = 2 × 269. It is:

539 = 72 × 11

540s

540

540 = 22 × 33 × 5. It is:

• an untouchable number.[16]
• a decagonal number.[23]
• palindromic and a repdigit in bases 26 (KK26), 29 (II29), 35 (FF35), 44 (CC44), 53 (AA53) and 59 (9959).
• a Harshad number in bases 2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 14 and 16.

541

541 is:

Mertens function(541) = 0.

542

542 = 2 × 271. It is:

543

543 = 3 × 181; palindromic in bases 11 (45411) and 12 (39312).

544

544 = 25 × 17. It is:

• palindromic in bases 31 (HH31) and 33 (GG33).
• a Harshad number in bases 2, 4, 9, 12, 13 and 16.

545

545 = 5 × 109. It is:

546

546 = 2 × 3 × 7 × 13. It is:

• the sum of eight consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83).
• palindromic in bases 4 (202024), 9 (6669), 16 (22216), 25 (LL25), 38 (EE38) and 41 (DD41).
• a repdigit in bases 9, 16, 25, 38 and 41.
• a Harshad number in bases 2, 3, 4, 6, 7, 8, 13, 14, 15 and 16.

547 is:

548

548 = 22 × 137. It is:

Also, every positive integer is the sum of at most 548 ninth powers;

549

549 = 32 × 61, It is:

• palindromic and a repdigit in bases 13 (33313) and 60 (9960).
• a Harshad number in bases 6, 7, 13 and 16.

550s

550

550 = 2 × 52 × 11. It is:

• a pentagonal pyramidal number.[30]
• a primitive abundant number.[31]
• a nontotient.
• a palindromic number and a repdigit in bases 24 (MM24), 49 (BB49) and 54 (AA54).
• a Harshad number in bases 6, 7, 8, 10, 11, 12, 13 and 16.
• the SMTP status code meaning the requested action was not taken because the mailbox is unavailable

551

551 = 19 × 29. It is:

• the sum of three consecutive primes (179 + 181 + 191).
• palindromic in bases 22 (13122) and 28 (JJ28).
• a Harshad number in base 15.
• the SMTP status code meaning user is not local

552

552 = 23 × 3 × 23. It is:

• the sum of six consecutive primes (79 + 83 + 89 + 97 + 101 + 103).
• the sum of ten consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73).
• a pronic number.[11]
• an untouchable number.[16]
• palindromic in bases 19 (1A119) and 45 (CC45).
• a Harshad number in bases 2, 3, 4, 5, 7, 8, 10, 11, 13 and 16.
• the model number of U-552.
• the SMTP status code meaning requested action aborted because the mailbox is full.

553

553 = 7 × 79. It is:

• the sum of nine consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
• a Harshad number in bases 3, 4, 7 and 8.
• the model number of U-553
• the SMTP status code meaning requested action aborted because of faulty mailbox name.

554

554 = 2 × 277. It is:

• a nontotient.
• the SMTP status code meaning transaction failed.

Mertens function(554) = 6, a record high that stands until 586.

555

555 = 3 × 5 × 37 is:

556

556 = 22 × 139. It is:

• the sum of four consecutive primes (131 + 137 + 139 + 149).
• an untouchable number, because it is never the sum of the proper divisors of any integer.[16]
• a happy number.
• a Harshad number in base 2.
• the model number of U-556; 5.56×45mm NATO cartridge.

557

557 is:

• a prime number.
• a Chen prime.
• an Eisenstein prime with no imaginary part.

558

558 = 2 × 32 × 31. It is:

• a nontotient.
• palindromic and a repdigit in bases 30 (II30) and 61 (9961).
• a Harshad number in bases 3, 4, 10, 11, 13 and 16.
• The sum of the largest prime factors of the first 558 is itself divisible by 558 (the previous such number is 62, the next is 993).
• in the title of the Star Trek: Deep Space Nine episode "The Siege of AR-558"

559

559 = 13 × 43. It is:

• the sum of five consecutive primes (103 + 107 + 109 + 113 + 127).
• the sum of seven consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97).
• a nonagonal number.[32]
• a centered cube number.[33]
• palindromic in bases 18 (1D118) and 42 (DD42).
• a Harshad number in bases 7, 8 and 15
• the model number of U-559.

560s

560

560 = 24 × 5 × 7. It is:

• a tetrahedral number.[34]
• a refactorable number.
• palindromic in bases 3 (2022023), 6 (23326), 27 (KK27), 34 (GG34), 39 (EE39) and 55 (AA55).
• a Harshad number in bases 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15 and 16.

561

561 = 3 × 11 × 17. It is:

562

562 = 2 × 281. It is:

• a Smith number.[17]
• an untouchable number.[16]
• the sum of twelve consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71).
• palindromic in bases 4 (203024), 13 (34313), 14 (2C214), 16 (23216) and 17 (1G117).
• the number of Native American (including Alaskan) Nations, or "Tribes," recognized by the USA government.

563 is:

564

564 = 22 × 3 × 47. It is:

• the sum of a twin prime (281 + 283).
• a refactorable number.
• palindromic in bases 5 (42245), 9 (6869) and 46 (CC46).
• a Harshad number in bases 2, 4, 5, 7 and 13.

565

565 = 5 × 113. It is:

• the sum of three consecutive primes (181 + 191 + 193).
• a member of the Mian–Chowla sequence.[40]
• a happy number.
• palindromic in bases 10 (56510) and 11 (47411).
• a Harshad number in base 2.

566

566 = 2 × 283. It is:

• nontotient.
• a happy number.

567

567 = 34 × 7. It is:

• palindromic in bases 12 (3B312), 26 (LL26) and 62 (9962).
• a Harshad number in bases 3, 4, 7, 9, 14 and 15.

568

568 = 23 × 71. It is:

• the sum of the first nineteen primes (a term of the sequence ).
• a refactorable number.
• palindromic in bases 7 (14417) and 21 (16121).
• a Harshad number in bases 2, 3, 8 and 9.
• the smallest number whose seventh power is the sum of 7 seventh powers.
• the room number booked by Benjamin Braddock in the 1967 film The Graduate.
• the number of millilitres in an imperial pint.
• the name of the Student Union bar at Imperial College London

569

569 is:

• a prime number.
• a Chen prime.
• a Eisenstein prime with no imaginary part.
• a strictly non-palindromic number.[39]

570s

570

570 = 2 × 3 × 5 × 19. It is:

• palindromic in bases 29 (JJ29), 37 (FF37) and 56 (AA56).
• a Harshad number in bases 2, 5, 6, 8, 9, 15 and 16.

571

571 is:

• a prime number.
• a Chen prime.
• a centered triangular number.[15]
• the model number of U-571 which appeared in the 2000 movie U-571

572

572 = 22 × 11 × 13. It is:

• a primitive abundant number.[31]
• a nontotient.
• palindromic in bases 3 (2100123), 15 (28215), 25 (MM25), 43 (DD43) and 51 (BB51).
• a Harshad number in bases 12 and 14.

573

573 = 3 × 191. It is:

574

574 = 2 × 7 × 41. It is:

• a sphenic number.
• a nontotient.
• palindromic in bases 9 (7079) and 40 (EE40).
• a Harshad number in bases 5, 6, 8, 9, 11 and 15.

575

575 = 52 × 23. It is:

• palindromic in bases 10 (57510), 13 (35313) and 24 (NN24).
• a Harshad number in base 12.

576

576 = 26 × 32 = 242. It is:

• the sum of four consecutive primes (137 + 139 + 149 + 151).
• a highly totient number.[41]
• a Smith number.[17]
• an untouchable number.[16]
• palindromic in bases 11 (48411), 14 (2D214), 23 (12123), 31 (II31), 35 (GG35), 47 (CC47) and 63 (9963).
• a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16.
• four-dozen sets of a dozen, which makes it 4 gross.

577 is:

578

578 = 2 × 172. It is:

• a nontotient.
• palindromic in bases 16 (24216) and 33 (HH33).

579

579 = 3 × 193; it is a ménage number.[43]

580s

580

580 = 22 × 5 × 29. It is:

• the sum of six consecutive primes (83 + 89 + 97 + 101 + 103 + 107).
• palindromic in bases 12 (40412), 17 (20217), 28 (KK28) and 57 (AA57).
• a Harshad number in bases 4, 6, 11, 15 and 16.

581

581 = 7 × 83. It is:

• the sum of three consecutive primes (191 + 193 + 197).
• a Harshad number in bases 3 and 8.

582

582 = 2 × 3 × 97. It is:

• a sphenic number.
• the sum of eight consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89).
• a nontotient.
• a Harshad number in bases 3 and 4.

583

583 = 11 × 53. It is:

• palindromic in bases 9 (7179) and 52 (BB52).
• a Harshad number in bases 5 and 12.

584

584 = 23 × 73. It is:

• an untouchable number.[16]
• the sum of totient function for first 43 integers.
• a refactorable number.
• a Harshad number in base 3.

585

585 = 32 × 5 × 13. It is:

• palindromic in bases 2 (10010010012), 8 (11118), 10 (58510), 38 (FF38), 44 (DD44) and 64 (9964).
• a repdigit in bases 8, 38, 44 and 64.
• the sum of powers of 8 from 0 to 3.
• a Harshad number in bases 3, 5, 7, 9, 11, 12, 13 and 16.

When counting in binary with fingers, expressing 585 as 1001001001, results in the isolation of the index and little fingers of each hand, "throwing up the horns".

586

586 = 2 × 293.

• Mertens function(586) = 7 a record high that stands until 1357.
• it is the number of several popular personal computer processors (such as the Intel pentium).

587

587 is:

• a prime number.
• safe prime.[2]
• a Chen prime.
• an Eisenstein prime with no imaginary part.
• the sum of five consecutive primes (107 + 109 + 113 + 127 + 131).
• palindromic in bases 11 (49411) and 15 (29215).
• the outgoing port for email message submission.

588

588 = 22 × 3 × 72. It is:

• a Smith number.[17]
• palindromic in bases 13 (36313), 27 (LL27), 41 (EE41) and 48 (CC48).
• a Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13, 14 and 15.

589

589 = 19 × 31. It is:

• the sum of three consecutive primes (193 + 197 + 199).
• palindromic in bases 21 (17121) and 30 (JJ30).
• a Harshad number in bases 11 and 16.

590s

590

590 = 2 × 5 × 59. It is:

• a sphenic number.
• a pentagonal number.[21]
• a nontotient.
• palindromic in bases 19 (1C119) and 58 (AA58).
• a Harshad number in bases 2, 5, 6 and 14.

591 = 3 × 197

592

592 = 24 × 37. It is:

• palindromic in bases 9 (7279), 12 (41412) and 36 (GG36).
• a Harshad number in bases 3, 4, 8, 9, 10 and 13.

593

593 is:

• a prime number.
• a Sophie Germain prime.
• the sum of seven consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101).
• the sum of nine consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83).
• an Eisenstein prime with no imaginary part.
• a balanced prime.[38]
• a Leyland number.
• a member of the Mian–Chowla sequence.[40]
• strictly non-palindromic number.[39]

594

594 = 2 × 33 × 11. It is:

• the sum of ten consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
• a nontotient.
• palindromic in bases 5 (43345), 16 (25216), 26 (MM26), 32 (II32) and 53 (BB53).
• a Harshad number in bases 4, 6, 8, 10, 12, 13, 14 and 16.

595

595 = 5 × 7 × 17. It is:

• a sphenic number.
• a triangular number.
• centered nonagonal number.[44]
• palindromic in bases 10 (59510), 18 (1F118), 22 (15122) and 34 (HH34).
• a Harshad number in bases 2, 3, 4, 7 and 8.

596

596 = 22 × 149. It is:

• the sum of four consecutive primes (139 + 149 + 151 + 157).
• a nontotient.
• a Harshad number in base 2.

597 = 3 × 199

598

598 = 2 × 13 × 23 = 51 + 92 + 83. It is:

• a sphenic number.
• palindromic in bases 4 (211124), 11 (4A411), 25 (NN25) and 45 (DD45).
• a Harshad number in bases 6, 14 and 16.

599

599 is:

• a prime number.
• a Chen prime.
• an Eisenstein prime with no imaginary part.

References

1. ^ Evans, I.H., Brewer's Dictionary of Phrase and Fable, 14th ed., Cassell, 1990, ISBN 0-304-34004-9
2. ^ a b c "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
3. ^ that is, a term of the sequence
4. ^ that is, the first term of the sequence
5. ^ since 503+2 is a product of two primes, 5 and 101
6. ^ since it is a prime which is congruent to 2 modulo 3.
7. ^ "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
8. ^ a b c "Sloane's A033950 : Refactorable numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
9. ^ 'Verizon Area Code For New Mexico' http://support.vzw.com/pdf/newmexico_split_map.pdf
10. ^ "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
11. ^ a b "Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
12. ^ "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
13. ^ "Sloane's A036913 : Sparsely totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
14. ^ "Sloane's A061209 : Numbers which are the cubes of their digit sum". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
15. ^ a b "Sloane's A005448 : Centered triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
16. "Sloane's A005114 : Untouchable numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
17. "Sloane's A006753 : Smith numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
18. ^ "Sloane's A005479 : Prime Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
19. ^ "Sloane's A005891 : Centered pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
20. ^ "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
21. ^ a b "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
22. ^ Larmer, Brook (October 26, 2011). "Where an Internet Joke Is Not Just a Joke". New York Times. Retrieved November 1, 2011.
23. ^ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
24. ^ "Sloane's A031157 : Numbers that are both lucky and prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
25. ^ "Sloane's A003154 : Centered 12-gonal numbers. Also star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
26. ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
27. ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
28. ^ "Sloane's A003215 : Hex (or centered hexagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
29. ^ "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
30. ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
31. ^ a b "Sloane's A071395 : Primitive abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
32. ^ "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
33. ^ "Sloane's A005898 : Centered cube numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
34. ^ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
35. ^ "Sloane's A000384 : Hexagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
36. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 14. ISBN 978-1-84800-000-1.
37. ^ "Sloane's A007540 : Wilson primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
38. ^ a b "Sloane's A006562 : Balanced primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
39. ^ a b c "Sloane's A016038 : Strictly non-palindromic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
40. ^ a b "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
41. ^ "Sloane's A097942 : Highly totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
42. ^ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
43. ^ "Sloane's A000179 : Ménage numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
44. ^ "Sloane's A060544 : Centered 9-gonal (also known as nonagonal or enneagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.