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A057450

Prime recurrence: a(n+1) = a(n)-th prime, with a(1) = 4.

4, 7, 17, 59, 277, 1787, 15299, 167449, 2269733, 37139213, 718064159, 16123689073, 414507281407, 12055296811267, 392654585611999, 14199419938376521, 565855918431234443

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Lubomir Alexandrov informs me that he studied this sequence in his 1965 notebook. - N. J. A. Sloane, May 23 2008

REFERENCES

Alexandrov, Lubomir. "On the nonasymptotic prime number distribution." arXiv preprint math/9811096 (1998). (See Appendix.)

LINKS

Table of n, a(n) for n=1..17.

Lubomir Alexandrov, Prime Number Sequences And Matrices Generated By Counting Arithmetic Functions, Communications of the Joint Institute of Nuclear Research, E5-2002-55, Dubna, 2002.

MATHEMATICA

NestList[ Prime, 4, 13 ]

PROG

(Python)

from sympy import prime

from itertools import accumulate

def f(an, _): return prime(an)

print(list(accumulate([4]*12, f))) # Michael S. Branicky, Apr 07 2021

CROSSREFS

Cf. A007097.

Sequence in context: A098091 A319782 A374563 * A077274 A292850 A080650

Adjacent sequences: A057447 A057448 A057449 * A057451 A057452 A057453

KEYWORD

nonn,hard,more

AUTHOR

Robert G. Wilson v, Sep 26 2000

EXTENSIONS

a(15)-a(17) from Robert G. Wilson v, Mar 07 2017 using Kim Walisch's primecount

STATUS

approved

URL: https://oeis.org/A057450

⇱ A057450 - OEIS