A057457 Prime recurrence: a(n+1) = a(n)-th prime, with a(1) = 12.

12, 37, 157, 919, 7193, 72727, 919913, 14161729, 259336153, 5545806481, 136395369829, 3809491708961, 119543903707171, 4176603711876241, 161191749822468689, 6825232807005006089

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, 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.

Programs

Mathematica

NestList[ Prime, 12, 11 ]

Extensions

a(13) from Robert G. Wilson v, Oct 01 2014

a(14)-a(16) from Robert G. Wilson v, Mar 07 2017 using Kim Walisch's primecount