6,403 

[Math.]  64032 = 40,998,409.

 

6,422

[Science]  The melting temperature of carbon (diamond) is about 3550 oC = 6422 oF and of carbon (graphite/amorphous) is 3675 oC = 6647 oF.

 

6,426

[Math.]  A base system of multigrade equalities: 

1+8+10+17 = 36 = 2+5+13+16

12+82+102+172 = 454 = 22+52+132+162

13+83+103+173 = 6,426 = 23+53+133+163. (References [26])

Multigrade equalities still hold by adding any integer n to every base term in both sides.  Hence, the base equality always has number 1 appearing in one side.

 

6,439

[Math.]  The 6439th odd prime number is 64319.

 

6,440

[Math.]  The 6440th prime number is 64319. (6431+9 = 6440)

 

6,441

[Math.]  A triangular number (sum of all integers from 1 to 113): 6441 = 1+2+…+112+113.

 

6,443

[Math.]  64433 = 267,463,420,307 has its digits occurring twice.

 

6,444

[Math.]  64445 = 11,111,627,111,310,388,224. 

  

6,451

[Math.]  The 6451st prime number is 64483. (6448+3 = 6451)

 

6,454

[Math.]  The 6454th prime number is 64513. (6451+3 = 6454)

 

6,455

[Math.]  The 6455th prime number is 64553.

 

6,456

[Math.]  The 6456th prime number is 64567.

 

6,457

[Math.]  The 6457th prime number is 64577.

 

6,458

[Math.]  The 6458th prime number is 64579 = 64580–1.

 

6,459

[Math.]  The 6459th prime number is 64591.

 

6,460

[Math.]  The 6460th prime number is 64601.

 

6,461

[Math.]  The 6461st prime number is 64609 = 64610–1.

 

6,462

[Math.]  The 6462nd prime number is 64613. (3–1=2).

 

6,463

[Math.]  The 6463rd prime number is 64621. (6462+1=6463).

 

6,466

[Math.]  The 6466th prime number is 64661.

 

[Math.]  The first Markov numbers are 1, 2, 5, 13, 29, 34, 89, 169, 194, 233, 433, 610, 985, 1325, 1597, 2897, 4181, 5741, 6466, 7561, 9077…

 

6,467

[Math.]  The 6467th prime number is 64663 = 64670–7.

 

6,469

[Math.]  A prime number. The 6469th prime number is 64679.

 

6,471

[Math.]  Each ratio 57429/6381 = 58239/6471 = 75249/8361 = 9, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #9.

 

[Math.]  The 6471st prime number is 64709 = 64710–1.

 

6,472

[Math.]  The 6472nd prime number is 64717 = 64720–3.

 

6,473

[Math.]  A prime number.  The 6473rd prime number is 64747. (7–4=3).

 

6,479

[Math.]  The ratio 51832/6479 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

6,480

[Math.]  Sum (in degrees) of all internal angles of a 38-side polygon.

 

6487

[Library]  The number of books of Thomas Jeferson's personal collection which had served as the foundation for the Library of Congress.

 

6,491

[Math.]  A prime number.  The 6491st prime number is 64951.


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References [26]