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A072236 Numbers of primes between successive primorials. +0
1
1, 2, 7, 36, 297, 2905, 39083, 603698, 11637502, 288086265, 7728273214, 251460107734, 9155428058351 (list; graph; listen)
OFFSET

0,2

COMMENT

The sum of this series is pi(x).

EXAMPLE

There are 3 primes less than 6, 7 primes between 6 and 30, and 36 primes between 30 and 210.

MATHEMATICA

Table[ PrimePi[ Product[Prime[i], {i, 1, n}]] - PrimePi[ Product[ Prime[i], {i, 1, n - 1}]], {n, 1, 12}]

CROSSREFS

Cf. A002110 & A000849.

Sequence in context: A012712 A012363 A012717 this_sequence A007474 A002724 A029990

Adjacent sequences: A072233 A072234 A072235 this_sequence A072237 A072238 A072239

KEYWORD

hard,nonn

AUTHOR

Stephan Wagler (stephanwagler(AT)aol.com), Jul 05 2002

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 08 2002

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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