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 A251056 Numbers n such that n^2 is a sum of 8 consecutive primes. 2
 38, 414, 466, 514, 714, 844, 850, 1076, 1136, 1186, 1370, 1512, 1544, 1580, 1600, 1700, 1844, 1900, 1918, 2028, 2114, 2250, 2304, 2320, 2330, 2364, 2396, 2404, 2450, 2674, 2846, 2894, 3076, 3314, 3346, 3506, 3612, 3622, 3676, 3718, 3774, 3866, 3912, 3966, 4012, 4126, 4506, 4700 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Zak Seidov, Table of n, a(n) for n = 1..10000 EXAMPLE 38^2 = 1444 = prime(38) + ... + prime(45) = 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197, 414^2 = 171396 = prime(2401) + ... + prime(2408) = 21391 + 21397 + 21401 + 21407 + 21419 + 21433 + 21467 + 21481. MATHEMATICA Sqrt[#]&/@Select[Total/@Partition[Prime[Range[250000]], 8, 1], IntegerQ[ Sqrt[#]]&] (* Harvey P. Dale, Nov 28 2018 *) CROSSREFS Cf. A074924, A051395, A252018, A252019, A252066. Sequence in context: A155193 A159943 A221634 * A267474 A240258 A254471 Adjacent sequences: A251053 A251054 A251055 * A251057 A251058 A251059 KEYWORD nonn AUTHOR Zak Seidov, Dec 14 2014 STATUS approved

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Last modified March 27 03:58 EDT 2023. Contains 361553 sequences. (Running on oeis4.)