A298103 The first of five consecutive prime numbers the sum of which is equal to the sum of five consecutive integers.

71, 271, 281, 313, 337, 347, 389, 431, 499, 631, 661, 673, 769, 787, 827, 877, 937, 947, 1153, 1163, 1181, 1229, 1307, 1319, 1373, 1427, 1451, 1489, 1531, 1621, 1667, 1699, 1721, 1759, 1789, 1901, 1933, 1979, 2017, 2039, 2131, 2137, 2339, 2381, 2383, 2417

Offset

1,1

Links

Colin Barker, Table of n, a(n) for n = 1..1000

Example

71 is in the sequence because 71+73+79+83+89 = 395 = 77+78+79+80+81.

Prog

(PARI) L=List(); forprime(p=2, 2500, q=nextprime(p+1); r=nextprime(q+1); s=nextprime(r+1); t=nextprime(s+1); u=p+q+r+s+t; if((u-10)%5==0, listput(L, p))); Vec(L)

Crossrefs

Cf. A054643, A298073, A298102.

Sequence in context: A243579 A142013 A033240 * A293395 A141943 A167441

Adjacent sequences: A298100 A298101 A298102 * A298104 A298105 A298106

Keyword

nonn

Author

Colin Barker, Jan 12 2018

Status

approved