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A244637
Primes that are the sum of the squares of distinct primes.
2
13, 29, 53, 83, 173, 179, 199, 227, 293, 347, 367, 373, 419, 439, 463, 467, 487, 491, 541, 563, 569, 587, 607, 613, 617, 641, 653, 659, 709, 727, 733, 751, 809, 823, 827, 829, 853, 857, 877, 881, 919, 953, 971, 977, 991, 997, 1013, 1019, 1021, 1039, 1049
OFFSET
1,1
COMMENTS
Primes in A048261.
Provide the prime factors of A185077.
A045637 is a subsequence.
There are only 368 primes not in this sequence, the largest being 12601. - Robert Israel, Jul 04 2014
LINKS
EXAMPLE
13 is in the sequence since it is prime and 13 = 2^2 + 3^2 (2 and 3 are distinct primes).
MATHEMATICA
nn=10; s={0}; Do[p=Prime[n]; s=Union[s, s+p^2], {n, nn}]; Select[s, (0<#<=Prime[nn]^2)&&PrimeQ[#]&] (* Michel Lagneau, Jul 03 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Marcus, Jul 03 2014
STATUS
approved