A057451 Prime recurrence: a(n+1) = a(n)-th prime, with a(1) = 6.

6, 13, 41, 179, 1063, 8527, 87803, 1128889, 17624813, 326851121, 7069067389, 175650481151, 4952019383323, 156740126985437, 5519908106212193, 214616508361122337, 9150317141480822981

Offset: 1

Author

Robert G. Wilson v, Sep 26 2000

Keywords

• nonn
• hard
• more

Comments

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

Links

• Lubomir Alexandrov, On the nonasymptotic prime number distribution, 1998 preprint, arXiv:math/9811096 [math.NT] (See Appendix.)
• 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.

Crossrefs

Cf. A007097, A057450, A057452, A057453.

Programs

Mathematica

NestList[ Prime, 6, 13 ]

Extensions

a(14) from Ray Chandler, Nov 04 2004

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