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A192361 Primes p such that number of primes in the range (p-sqrt(p), p] is equal to number of primes in the range (p, p+sqrt(p)]. 0

%I

%S 2,11,29,37,41,71,97,103,131,191,229,257,263,311,331,347,373,379,443,

%T 491,541,593,643,727,733,739,797,821,929,967,991,1013,1019,1097,1163,

%U 1171,1201,1213,1217,1259,1291,1297,1373,1451,1481,1531,1553,1571,1583,1657,1709,1777,1831,1873,1949,1999,2053

%N Primes p such that number of primes in the range (p-sqrt(p), p] is equal to number of primes in the range (p, p+sqrt(p)].

%e a(1)=2 because 2 in range (2-sqrt(2), 2] and 3 in range (2, 2+sqrt(2)],

%e a(2)=11 because 7 in range (11-sqrt(11), 11] and 13 in range (11, 11+sqrt(11)].

%o (PARI) is(p)=2*primepi(p)==primepi(p+sqrt(p))+primepi(p-sqrt(p))

%o select(isA192361,primes(1000)) \\ _Charles R Greathouse IV_, Jun 29 2011

%Y Cf. A058188.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Jun 28 2011

%E Missing terms a(3) and a(7) inserted, a(19)-a(57) added by _Charles R Greathouse IV_, Jun 29 2011

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Last modified October 18 01:39 EDT 2021. Contains 348065 sequences. (Running on oeis4.)