The OEIS is supported by the many generous donors to the OEIS Foundation.

Primes of the form a^2 + b^2 + c^2 such that a^4 + b^4 + c^4 is prime as well and larger than the first one.

0

`%I #19 Jun 16 2021 02:06:31
`

`%S 101,107,149,173,179,251,389,521,701,1097,1601,1613,1901,1907,2549,
`

`%T 2897,2909,3701,4133,4139,5051,6101,7229,7817,7829,8429,10457,11171,
`

`%U 11933,12689,13499,15131,15149,16883,18749,19697,20693,21701,22721,22739
`

`%N Primes of the form a^2 + b^2 + c^2 such that a^4 + b^4 + c^4 is prime as well and larger than the first one.
`

`%C With a=b=1 and c=0, both a^2 + b^2 + c^2 and a^4 + b^4 + c^4 would yield 2 (a prime); similarly, with a=b=c=1, both sums would yield 3 (also a prime). Thus, without the "larger than the first one" constraint, both 2 and 3 would be terms of this sequence. - _Jon E. Schoenfield_, Jun 15 2021
`

`%e 101 = 1^2 + 6^2 + 8^2 and 5393 = 1^4 + 6^4 + 8^4 is prime as well.
`

`%e 31859 = 99^2 + 103^2 + 107^2 and 339690083 = 99^4 + 103^4 + 107^4 is prime as well.
`

`%K nonn
`

`%O 1,1
`

`%A _Tomas Xordan_, Mar 05 2007
`