|
%I #7 Jan 13 2018 04:59:47
%S 71,271,281,313,337,347,389,431,499,631,661,673,769,787,827,877,937,
%T 947,1153,1163,1181,1229,1307,1319,1373,1427,1451,1489,1531,1621,1667,
%U 1699,1721,1759,1789,1901,1933,1979,2017,2039,2131,2137,2339,2381,2383,2417
%N The first of five consecutive prime numbers the sum of which is equal to the sum of five consecutive integers.
%H Colin Barker, <a href="/A298103/b298103.txt">Table of n, a(n) for n = 1..1000</a>
%e 71 is in the sequence because 71+73+79+83+89 = 395 = 77+78+79+80+81.
%o (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)
%Y Cf. A054643, A298073, A298102.
%K nonn
%O 1,1
%A _Colin Barker_, Jan 12 2018
|
