A298302 - OEIS

A298302

The first of three consecutive primes the sum of which is equal to the sum of three consecutive heptagonal numbers.

17, 967, 7477, 15877, 17093, 24337, 69467, 99689, 123983, 241333, 375773, 457307, 501077, 525983, 604411, 654587, 772001, 780347, 1007099, 1023037, 1124593, 1192651, 1206497, 1423921, 1488797, 1598791, 1610809, 1692071, 1809221, 2297759, 2538623, 3017849

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000 (n = 1..100 from Colin Barker)

EXAMPLE

17 is in the sequence because 17+19+23 (consecutive primes) = 59 = 7+18+34 (consecutive hexagonal numbers).

PROG

(PARI) L=List(); forprime(p=2, 4000000, q=nextprime(p+1); r=nextprime(q+1); t=p+q+r; if(issquare(120*t-519, &sq) && (sq-21)%30==0, u=(sq-21)\30; listput(L, p))); Vec(L)

CROSSREFS

Cf. A000040, A000566, A054643, A298073, A298168, A298169, A298222, A298223, A298250, A298251, A298272, A298273, A298301.

Sequence in context: A373861 A196873 A262386 * A166188 A274548 A266860

Adjacent sequences: A298299 A298300 A298301 * A298303 A298304 A298305

KEYWORD

nonn

AUTHOR

Colin Barker, Jan 16 2018

STATUS

approved