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A122556 Primes occur infinitely often, with first appearance in order. Between each occurance of a prime p, there are p distinct primes. 0
2, 3, 5, 2, 7, 3, 2, 11, 13, 2, 3, 5, 2, 17, 3, 2, 19, 7, 2, 3, 5, 2, 23, 3, 2, 29, 31, 2, 3, 5, 2, 37, 3, 2, 7, 11, 2, 3, 5, 2, 41, 3, 2, 43, 13, 2, 3, 5, 2, 7, 3, 2, 47, 53, 2, 3, 5, 2, 59, 3, 2, 61, 7, 2, 3, 5, 2, 11, 3, 2, 17, 67, 2, 3, 5, 2, 71, 3, 2, 7, 19, 2, 3, 5, 2, 13, 3, 2, 73, 79, 2, 3, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

From a suggestion by Eric Angelini. The primes between two occurrences of p always include all smaller primes, often more than once and p - PrimePi(p) + 1 larger primes, once each. (Here PrimePi is A000720, the number of primes <= n.)

LINKS

Table of n, a(n) for n=1..93.

EXAMPLE

Between the first and 2nd 5's, the sequence is 2,7,3,2,11,13,2,3; the distinct values are {2,3,7,11,13}, a set with 5 elements.

CROSSREFS

Cf. A001511, A000720.

Sequence in context: A066949 A073481 A178094 * A175723 A084346 A165911

Adjacent sequences:  A122553 A122554 A122555 * A122557 A122558 A122559

KEYWORD

easy,nonn

AUTHOR

Franklin T. Adams-Watters, Sep 20 2006

STATUS

approved

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Last modified February 23 23:56 EST 2018. Contains 299595 sequences. (Running on oeis4.)