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
Keywords
Examples
71 is in the sequence because 71+73+79+83+89 = 395 = 77+78+79+80+81.
Links
- Colin Barker, Table of n, a(n) for n = 1..1000
Programs
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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)