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A298222
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The first of three consecutive squares the sum of which is equal to the sum of three consecutive primes.
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10
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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
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history;
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OFFSET
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1,1
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LINKS
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Colin Barker, Table of n, a(n) for n = 1..100
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EXAMPLE
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1444 is in the sequence because 1444+1521+1600 (consecutive squares) = 4565 = 1511+1523+1531 (consecutive primes).
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PROG
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(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)
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CROSSREFS
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Cf. A000040, A000290, A054643, A298073, A298168, A298169, A298223.
Sequence in context: A251842 A105417 A105416 * A180465 A328886 A031754
Adjacent sequences: A298219 A298220 A298221 * A298223 A298224 A298225
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KEYWORD
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nonn
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AUTHOR
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Colin Barker, Jan 15 2018
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STATUS
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approved
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