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A160359 Primes that are partial sums of squares of the odd primes 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..25.

FORMULA

A160359 = A000040 intersect A133547.

MATHEMATICA

Select[Accumulate[Prime[Range[2, 400]]^2], PrimeQ] (* Harvey P. Dale, Jul 17 2021 *)

PROG

(PARI) s=0; forprime( p=3, 9999, isprime(s+=p^2) & print1(s", "))

CROSSREFS

Cf. A098562, A133547.

Sequence in context: A061525 A293979 A340861 * A142496 A142560 A243342

Adjacent sequences: A160356 A160357 A160358 * A160360 A160361 A160362

KEYWORD

nonn

AUTHOR

M. F. Hasler, May 18 2009

STATUS

approved

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Last modified December 1 22:55 EST 2022. Contains 358485 sequences. (Running on oeis4.)