NumberADay
Friday, April 29, 2011

340

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340 = 2 2 x 5 x 17. 340 has two representations as a sum of two squares: 340 = 4 2 + 18 2 = 12 2 + 14 2 . 340 is the number of integer ...
Thursday, April 28, 2011

130

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130 = 2 x 5 x 13. 130 has two representations as a sum of two squares: 130 = 3 2 + 11 2 = 7 2 + 9 2 . 130 is the smallest number with eig...
Wednesday, April 27, 2011

126

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126 = 2 x 3 2 x 7. 126 is the sixth pentatope number . 126 is 99 in base 13. 126 is a decagonal number and a pentagonal pyramidal number ...
Tuesday, April 26, 2011

263

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263 is a prime number. 263 is the largest known prime whose square is strobogrammatic ; that is, it is the same number when rotated 180 deg...
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Monday, April 25, 2011

855

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855 = 3 2 x 56 x 19. 855 is the sum of all the digits of all two-digit numbers. 855 is a number that cannot be written as a sum of three sq...
Friday, April 22, 2011

430

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430 = 2 x 5 x 43. 430 is the number of necklaces possible with six beads, each being one of four colors. 430 is 656 in base 8. 430 is the ...
Thursday, April 21, 2011

6011

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6011 is a prime number. Rotating 6011 by 180 degrees (turning it upside down) produces 1109, another prime. 6011 is a member of the Fibonacc...
Wednesday, April 20, 2011

600

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600 = 2 3 x 3 x 5 2 . 600 is the product of two consecutive integers, so it is a pronic number : 600 = 24 x 25. 600 and its reverse, 6, are...
Tuesday, April 19, 2011

298

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298 = 2 x 149. 298 has a representation as a sum of two squares: 298 = 3 2 + 17 2 . 298 = (2 2 + 9 2 + 8 2 ) + (2 2 + 9 2 + 8 2 ). 298...
Monday, April 18, 2011

335

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335 = 5 x 67. It is divisible by the number of primes below it (67). 335 is a number that cannot be written as a sum of three squares. 335 i...
Friday, April 15, 2011

457

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457 is a prime number. 457 has a representation as a sum of two squares: 457 = 4 2 + 21 2 . 457 is the hypotenuse of a primitive Pythagorea...
Thursday, April 14, 2011

599

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599 is a prime number. 599 and 601 form a twin prime pair. 599 is a number that cannot be written as a sum of three squares. 599 is a divi...
Wednesday, April 13, 2011

445

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445 = 5 x 89. 445 has two representations as a sum of two squares: 445 = 2 2 + 21 2 = 11 2 + 18 2 . 445 is the hypotenuse of two primitiv...
Tuesday, April 12, 2011

1237

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1237 is a prime number. 1237 has a representation as a sum of two squares: 1237 = 9 2 + 37 2 . 1237 is the hypotenuse of a primitive Pythag...
Monday, April 11, 2011

179

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179 is a prime number. 179 is a Sophie Germain prime because 2 x 179 + 1 = 359 , a prime. 179 and 181 form a twin prime pair. 179 = (17 x ...
Friday, April 8, 2011

686

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686 = 2 x 7 3 . 686 is a divisor of 19 6 - 1. 686 is the number of partitions of 35 in which no part occurs only once. 686 is 2000 in bas...
Thursday, April 7, 2011

861

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861 = 3 x 7 x 41. 861 is the 41st triangular number . It is also a hexagonal number . 861 = 7 + 77 + 777. 144,648 = 861 x 168 = 492 x 294. T...
Wednesday, April 6, 2011

477

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477 = 3 2 x 53, 477 has a representation as a sum of two squares: 477 = 6 2 + 21 2 . 477 is a pentagonal number . 477 is the smallest numb...
Tuesday, April 5, 2011

380

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380 = 2 2 x 5 x 19. 380 is a pronic number because it is the product of two consecutive numbers: 380 = 19 x 20. Hence, it is also twice a ...
Monday, April 4, 2011

62

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62 = 2 x 31. 62 is 222 in base 5. 62 = 14 + 15 + 16 + 17. 62 is the smallest number that can be written as the sum of three distinct squares...
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