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A160359
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Primes that are partial sums of squares of the odd primes
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2
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83, 373, 2393, 4723, 56383, 122701, 1789391, 1987849, 2706679, 7287991, 27833021, 41765519, 43570537, 55600477, 62283451, 67053359, 104720809, 122353547, 204330311, 347756707, 450504547, 540649093, 677774533, 715849843, 839886301
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OFFSET
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1,1
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COMMENTS
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There is necessarily an odd number of terms in the sum a(n) = 3^2+5^2+...+p(k)^2, i.e. the index k=A160358(n)+1 of the last prime in this sum is even.
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LINKS
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FORMULA
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MATHEMATICA
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Select[Accumulate[Prime[Range[2, 400]]^2], PrimeQ] (* Harvey P. Dale, Jul 17 2021 *)
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PROG
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(PARI) s=0; forprime( p=3, 9999, isprime(s+=p^2) & print1(s", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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