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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: A105417 A105416 A348740 * 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 May 16 16:43 EDT 2022. Contains 353707 sequences. (Running on oeis4.)