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A298103
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The first of five consecutive prime numbers the sum of which is equal to the sum of five consecutive integers.
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2
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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
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OFFSET
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1,1
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LINKS
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EXAMPLE
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71 is in the sequence because 71+73+79+83+89 = 395 = 77+78+79+80+81.
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PROG
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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)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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