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 A298222 The first of three consecutive squares the sum of which is equal to the sum of three consecutive primes. 10
 1444, 5776, 6400, 9604, 10816, 13924, 14400, 14884, 22500, 28900, 36100, 61504, 62500, 67600, 88804, 115600, 136900, 166464, 211600, 232324, 291600, 315844, 425104, 454276, 577600, 602176, 715716, 817216, 937024, 1016064, 1020100, 1290496, 1397124, 1507984 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Colin Barker, Table of n, a(n) for n = 1..100 EXAMPLE 1444 is in the sequence because 1444+1521+1600 (consecutive squares) = 4565 = 1511+1523+1531 (consecutive primes). PROG (PARI) L=List(); forprime(p=2, 400000, q=nextprime(p+1); r=nextprime(q+1); t=p+q+r; if(issquare(12*t-24, &sq) && (sq-6)%6==0, u=(sq-6)\6; listput(L, u^2))); Vec(L) CROSSREFS Cf. A000040, A000290, A054643, A298073, A298168, A298169, A298223. Sequence in context: A105416 A348740 A368191 * A180465 A328886 A031754 Adjacent sequences: A298219 A298220 A298221 * A298223 A298224 A298225 KEYWORD nonn AUTHOR Colin Barker, Jan 15 2018 STATUS approved

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Last modified June 13 15:42 EDT 2024. Contains 373389 sequences. (Running on oeis4.)