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A064110 Let s(n) = n-th single prime (cf. A007510). Sequence is defined by recurrence a(n+1) = s(a(n)), n = 0,1,2,..., a(0)=1. +0
1
1, 2, 23, 263, 2917, 38639, 603311, 11093633, 236524303 (list; graph; listen)
OFFSET

0,2

COMMENT

This is the "isolated prime Eratosthenes progression at base 1 (ipep(1))". The next ipep are: ipep(3) = 3, 37, 397, 4751, 64403, 1038629, 19661749,...; ipep(4) = 4, 47, 491, 5897, 81131, 1328167, 25467419,...; ipep(5) = 5, 53, 557, 6709, 93287, 1541191, 29778547,...; ...; ipep(22)= 22, 257, 2861, 37799, 589181, 10821757, 230452837,... ipep(24)= 24, 277, 3079, 40823, 640121, 11807167, 252480587,... and so on.

In the terminology of A007097 the name is "isolated_prime-th recurrence ..."

REFERENCES

"Isolated Primes", by Richard L. Francis, J. Rec. Math., 11 (1978), 17-22.

CROSSREFS

Cf. A007097, A063502.

Sequence in context: A068983 A083427 A083470 this_sequence A126040 A088641 A013526

Adjacent sequences: A064107 A064108 A064109 this_sequence A064111 A064112 A064113

KEYWORD

hard,nonn

AUTHOR

Lubomir Alexandrov (alexandr(AT)thsun1.jinr.ru), Sep 07 2001

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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