

A192361


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


0



2, 11, 29, 37, 41, 71, 97, 103, 131, 191, 229, 257, 263, 311, 331, 347, 373, 379, 443, 491, 541, 593, 643, 727, 733, 739, 797, 821, 929, 967, 991, 1013, 1019, 1097, 1163, 1171, 1201, 1213, 1217, 1259, 1291, 1297, 1373, 1451, 1481, 1531, 1553, 1571, 1583, 1657, 1709, 1777, 1831, 1873, 1949, 1999, 2053
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..57.


EXAMPLE

a(1)=2 because 2 in range (2sqrt(2), 2] and 3 in range (2, 2+sqrt(2)],
a(2)=11 because 7 in range (11sqrt(11), 11] and 13 in range (11, 11+sqrt(11)].


PROG

(PARI) is(p)=2*primepi(p)==primepi(p+sqrt(p))+primepi(psqrt(p))
select(isA192361, primes(1000)) \\ Charles R Greathouse IV, Jun 29 2011


CROSSREFS

Cf. A058188.
Sequence in context: A045493 A116038 A213521 * A213522 A136317 A090389
Adjacent sequences: A192358 A192359 A192360 * A192362 A192363 A192364


KEYWORD

nonn


AUTHOR

JuriStepan Gerasimov, Jun 28 2011


EXTENSIONS

Missing terms a(3) and a(7) inserted, a(19)a(57) added by Charles R Greathouse IV, Jun 29 2011


STATUS

approved



