A051697 -id:A051697 - cp's OEIS frontend

A141791 Primes of the form c(n)-n, where c(n)=n-th composite.

3, 5, 5, 5, 7, 7, 7, 11, 13, 13, 13, 17, 17, 17, 17, 17, 19, 19, 19, 19, 19, 23, 23, 23, 29, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 37, 37, 37, 37, 37, 41, 41, 41, 41, 41, 43, 43, 43, 43, 43, 43, 43, 43, 43, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 53, 59, 59, 59, 59, 59

Offset: 1

Juri-Stepan Gerasimov, Sep 13 2008, Feb 15 2009

nonn

c(n)=A002808(n).

Entries may be repeated and are shown in order of increasing generator n.

			n=1: c(1)-1=4-1=3=a(1).
n=3: c(3)-3=8-3=5=a(2).
n=4: c(4)-4=9-4=5=a(3).
n=5: c(5)-5=10-5=5=a(4).
n=7: c(7)-7=14-7=7=a(5).

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A000040, A051697, A002808.

Module[{cmps=Select[Range[300],CompositeQ]},Select[#[[1]]-#[[2]]&/@ Thread[ {cmps,Range[Length[cmps]]}],PrimeQ]] (* Harvey P. Dale, Jan 15 2020 *)

Corrected and extended by R. J. Mathar, Sep 26 2008

A141784 Primes of the form A141468(n)-n, where A141468(n)=n-th nonprime.

Original entry on oeis.org

2, 3, 3, 3, 5, 5, 5, 7, 7, 7, 11, 11, 11, 13, 13, 13, 17, 17, 17, 17, 17, 19, 23, 23, 23, 23, 23, 23, 23, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 31, 31, 31, 31, 31, 37, 37, 37, 41, 41, 41, 41, 41, 41, 41, 41, 41, 43, 43, 43, 47, 47, 47, 53, 53, 53, 53, 53, 59, 61, 61, 61, 61

Offset: 1

Juri-Stepan Gerasimov, Sep 13 2008

nonn

			n=4: k(4)-4=6-4=2=a(1).
n=5: k(5)-5=8-5=3=a(2).
n=6: k(6)-6=9-6=3=a(3).
n=7: k(7)-7=10-7=3=a(4).
n=9: k(9)-9=14-9=5=a(5).

Cf. A000040, A051697, A141468.

Extended by R. J. Mathar, Sep 26 2008

A141792 Primes of the form A018252(n)-n, where A018252(n)=n-th nonprime.

Original entry on oeis.org

2, 3, 5, 7, 11, 11, 11, 11, 11, 13, 17, 19, 19, 19, 23, 23, 23, 23, 23, 29, 29, 29, 31, 31, 31, 37, 37, 37, 37, 37, 41, 43, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 53, 53, 53, 53, 53, 53, 53, 53, 53, 59, 59, 59, 61, 61, 61, 61, 61, 61, 61, 61, 61, 67, 67, 67, 67, 67, 71, 71, 71, 71

Offset: 1

Juri-Stepan Gerasimov, Sep 13 2008

nonn

			n=2: r(2)-2=4-2=2=a(1).
n=3: r(3)-3=6-3=3=a(2).
n=7: r(7)-7=12-7=5=a(3).
n=11: r(11)-11=18-11=7=a(4).
n=21: r(21)-21=32-21=11=a(5).

Cf. A000040, A051697, A018252.

Corrected and extended by R. J. Mathar, Sep 26 2008

cp's OEIS Frontend

A141791 Primes of the form c(n)-n, where c(n)=n-th composite.

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A141784 Primes of the form A141468(n)-n, where A141468(n)=n-th nonprime.

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A141792 Primes of the form A018252(n)-n, where A018252(n)=n-th nonprime.

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