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Number of primes p such that n^n <= p <= n^n + n^2.
Question: for any n>0 , is there at least one prime p such that n^n <= p <= n^n + n^2? In this case, that would be stronger than the Schinzel conjecture : "for m > 1 there's at least one prime p such that m <= p <= m +ln log(m)^2" since n^2 <ln log(n^n)^2 = n^2*lnlog(n)^2.
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a(66)...-a(76) from Alex Ratushnyak, Apr 20 2014
1, 2, 2, 4, 1, 5, 4, 1, 2, 5, 1, 4, 4, 9, 7, 6, 2, 4, 7, 9, 7, 3, 7, 10, 10, 6, 12, 6, 10, 7, 8, 10, 7, 9, 13, 13, 7, 10, 11, 11, 9, 13, 11, 10, 15, 10, 11, 10, 19, 14, 16, 11, 16, 21, 20, 12, 9, 15, 21, 12, 10, 16, 15, 22, 19, 17, 18, 12, 19, 20, 13, 17, 13, 13, 17, 23
a(66)...a(76) from Alex Ratushnyak, Apr 20 2014
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editing
_Benoit Cloitre (benoit7848c(AT)orange.fr), _, May 05 2002
easy,nonn,new
Benoit Cloitre (abmtbenoit7848c(AT)wanadooorange.fr), May 05 2002