114 = 2 x 3 x 19. 114 is the smallest number with 10 representations as a sum of two primes: 114 = 5 + 109 = 7 + 107 = 11 + 103 = 13 + 101 =...

513 = 3 3 x 19. 513 is 1000000001 in base 2 and 1001 in base 8. It is 20001 in base 4 and 201 in base 16. 513 is a triangular matchstick n...

612 = 2 2 x 3 2 x 17. 612 has a representation as a sum of two squares: 612 = 6 2 + 24 2 . 612 is a number whose square (374544) and cube...

819 = 3 2 x 7 x 13. 819 is 1100110011 in base 2 (binary) and 333 in base 16. 819 is a square pyramidal number . 819 is the largest three-di...

25 = 5 2 , a perfect square. 25 has a representation as a sum of two squares: 25 = 3 2 + 4 2 . It is the smallest square that can be writte...

810 = 2 x 3 4 x 5. 810 has a representation as a sum of two squares: 810 = 9 2 + 27 2 . 810 has the representation 3 6 + 81. 810 is a val...

498 = 2 x 3 x 83. 498 is the product of three distinct Sophie Germain primes . 498 is the number of necklaces possible with eight beads, ea...

176 = 2 4 x 11. 176 has a unique representation as a sum of three squares: 176 = 4 2 + 4 2 + 12 2 . 176 is the number of integer partitio...

241 is a prime number. 241 has a representation as a sum of two squares: 241 = 4 2 + 15 2 . 239 and 241 form a twin prime pair. 241 is th...

883 is a prime number. 881 and 883 form a twin prime pair. 8 n + 8 n + 3 n is prime for n = 0 to 4: 3, 19 , 137, 1051, and 8273. 883 i...

975 = 3 x 5 2 x 13. 975 is 1111001111 in base 2 (binary). 975 is 33033 in base 4, 4303 in base 6, 1303 in base 9, and 303 in base 18. 975 i...

778 = 2 x 389. 778 has a representation as a sum of two squares: 778 = 7 2 + 27 2 . 778 is the number of ways a 5 x 1 rectangle can be surr...

677 is a prime number. 677 has a representation as a sum of two squares: 677 = 1 2 + 26 2 . 677 is the sum of three consecutive squares: 67...

88 = 2 3 x 11. 88 has a unique representation as a sum of three squares: 88 = 4 2 + 6 2 + 6 2 . 88 = 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11...

773 is a prime number. 773 has a representation as a sum of two squares: 773 = 17 2 + 22 2 . 773 is the hypotenuse of a primitive Pythagore...