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 A245577 Numbers k such that k^4 is a sum of 4 consecutive primes. 5
 12, 90, 208, 212, 234, 242, 314, 366, 404, 410, 416, 486, 540, 590, 750, 888, 908, 1152, 1418, 1444, 1500, 1524, 1658, 1666, 1736, 1798, 1814, 1874, 1940, 1942, 2094, 2138, 2266, 2496, 2584, 3058, 3062, 3206, 3660, 4034, 4080, 4208, 4368, 4422, 4606, 4872 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert G. Wilson v, Table of n, a(n) for n = 1..5100 (first 1189 terms from Zak Seidov) EXAMPLE 12^4 = 20736 = prime(689) + prime(689 + 1) + prime(689 + 2) + prime(689 + 3) = 5171 + 5179 + 5189 + 5197. MATHEMATICA fQ[n_] := MemberQ[ Total@# & /@ Partition[ Table[ NextPrime[n^4/4, i], {i, {-3, -2, -1, 1, 2, 3}}], 4, 1], n^4]; Select[ Range@ 5000, fQ] (* Robert G. Wilson v, Dec 03 2014 *) PROG (PARI) isscpn(n) = {np = n^4; p = precprime(np\4); for (i=1, 3, p = precprime(p-1); ); while(1, q = nextprime(p+1); r = nextprime(q+1); s = nextprime(r+1); if ((v=p+q+r+s) == np, return (1)); if (v > np, return (0)); p = q; ); } \\ Michel Marcus, Nov 30 2014 CROSSREFS Cf. A034963, A051395, A206280. Sequence in context: A199558 A034197 A217089 * A156397 A203636 A121590 Adjacent sequences:  A245574 A245575 A245576 * A245578 A245579 A245580 KEYWORD nonn AUTHOR Zak Seidov, Nov 29 2014 STATUS approved

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Last modified April 13 02:47 EDT 2021. Contains 342934 sequences. (Running on oeis4.)