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.

1, 2, 23, 263, 2917, 38639, 603311, 11093633, 236524303, 5782539281

Offset

0,2

Comments

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.

Links

Table of n, a(n) for n=0..9.

Crossrefs

Cf. A007097, A063502.

Sequence in context: A068983 A083427 A083470 * A176936 A126040 A354419

Adjacent sequences: A064107 A064108 A064109 * A064111 A064112 A064113

Keyword

hard,nonn

Author

Lubomir Alexandrov, Sep 07 2001

Extensions

a(9) from Sean A. Irvine, Jun 12 2023

Status

approved