A097466 Number of primes in each interval of one hundred numbers starting at 10000000.

2, 6, 6, 6, 5, 4, 7, 10, 9, 6, 4, 2, 11, 5, 7, 7, 4, 7, 10, 3, 9, 7, 6, 4, 8, 8, 6, 5, 9, 4, 7, 6, 4, 5, 5, 8, 7, 9, 5, 4, 4, 4, 9, 8, 6, 6, 7, 2, 7, 5, 8, 5, 8, 8, 7, 5, 9, 5, 9, 7, 6, 7, 6, 6, 6, 4, 8, 6, 5, 5, 5, 7, 6, 6, 7, 6, 6, 5, 8, 4, 4, 5, 6, 6, 6, 8, 4, 5, 5, 5, 9, 8, 6, 8, 7, 3, 6, 6, 6, 6, 7, 6, 9, 8

Offset

1,1

Comments

This violates the OEIS rule that sequences should not depend on the choice of a large arbitrary parameter. Included only because it is in Nagell. - N. J. A. Sloane

References

Nagell, T. "Introduction to number theory", Chelsea Publishing Company, 1964, page 52.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Maple

a:= n-> add(`if`(isprime(2*i+1), 1, 0), i=50*n+4999950..50*n+4999999):
seq (a(n), n=1..120);  # Alois P. Heinz, Sep 07 2012

Mathematica

f[n_] := PrimePi[10^7 + 100n] - PrimePi[10^7 + 100n - 100]; Table[ f[n], {n, 70}] (* Robert G. Wilson v, Aug 27 2004)

Crossrefs

Sequence in context: A291793 A284121 A198102 * A259311 A141624 A134413

Adjacent sequences: A097463 A097464 A097465 * A097467 A097468 A097469

Keyword

nonn,easy

Author

Francesco Guerrieri (francesco.guerrieri(AT)roma1.infn.it), Aug 23 2004

Extensions

More terms from Robert G. Wilson v, Aug 27 2004

Status

approved