A126708 Prime numbers that are the sum of the cubes of three distinct primes with the same final digit.

93871, 100043, 159389, 161071, 236627, 240551, 297233, 325693, 409499, 456623, 468551, 524287, 550061, 583981, 614683, 617401, 653491, 705277, 722807, 800171, 968239, 1016839, 1040311, 1129013, 1172261, 1276039, 1317259, 1326277, 1379519

Offset: 1

Author

Tomas Xordan, Feb 11 2007

Keywords

• nonn
• base

Examples

			93871 = 13^3 + 23^3 + 43^3 = 2197 + 12167 + 79507 is prime and 13, 23, 43 are primes with the same final digit, hence 93871 is a term.
617401 = 43^3 + 53^3 + 73^3 = 79507 + 148877 + 389017 is prime and 43, 53, 73 are primes with the same final digit, hence 617401 is a term.
14391 = 3^3 + 13^3 + 23^3 = 27 + 2197 + 12167 is not prime; although 3, 13, 23 are primes with the same final digit, 14391 is not in the sequence.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A125516, A126657, A126658.

Programs

PARI

{m=116; p=m^3; w=[]; forprime(i=1, m-2, r=i%10; forprime(j=i+1, m-1, forprime(k=j+1, m, if(j%10==r&&k%10==r&&(n=i^3+j^3+k^3)
				

Extensions

Edited, corrected and extended by Klaus Brockhaus, Feb 16 2007