A143653 -id:A143653 - cp's OEIS frontend

A136740 (0, 1, 2, 3, 2^2, 5, 23, 7, 2^3, 3^2, 25, 11, 2^23,..) becomes (2, 3, 5, 7, 11^13, 17, 1923, 29, 31^37, 41^43, 4753, 59, 61^6771,..).

2, 3, 5, 7, 34522712143931, 17, 437, 29

Offset: 1

Juri-Stepan Gerasimov, Nov 08 2008

			a(5)=11^13=34522712142931.
a(7)=19*23=437,
etc.

Cf. A141269, A141270, A143652, A143653, A143666.

Corrected typo in a(5), inserted a(6). R. J. Mathar, Feb 21 2009

A144190 (0, 1, 2, 3, 2^2, 5, 23, 7, 2^3, 3^2, 25, 11, 2^2*3, ...) becomes (0 mod 1, 2 mod 3, 2 mod 2, 5 mod 2, 3 mod 7, 2 mod 3, 3 mod 2, 2 mod 5, 11 mod 2, 2 mod 3, ...).

Original entry on oeis.org

0, 2, 0, 1, 3, 2, 1, 2, 1, 2, 1, 1, 1, 4, 2, 2, 0, 2, 1, 11, 2, 3, 0, 1, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 2, 2, 3, 2, 5, 2, 7, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 5, 2, 1, 1, 29, 0, 3, 1, 1, 2, 2, 5, 2, 11, 0, 2, 1, 5, 1, 0, 2, 2, 3, 0, 2, 7, 2, 13, 2, 2, 0, 41, 0, 3, 5, 2, 3, 2, 11, 2, 2, 7, 0, 2, 1, 2, 1, 2, 1

Offset: 1

Juri-Stepan Gerasimov, Nov 20 2008

nonn

			2 mod 3 = 1 = a(10),
13 mod 2 = 1 = a(11),
7 mod 3 = 1 = a(12),
5 mod 2 = 1 = a(13),
4 mod 17 = 4 = a(14),
2 mod 3 = 2 = a(15),
2 mod 19 = 2 = a(16),
2 mod 2 = 0 = a(17),
5 mod 3 = 2 = a(18),
7 mod 2 = 1 = a(19),
11 mod 23 = 11 = a(20), etc.

Cf. A136734, A136735, A143653.

pflat := proc(nmax) local a, ifs, n, p, c ; a := [0,1] ; for n from 2 to nmax do ifs := ifactors(n)[2] ; for p in ifs do a := [op(a),op(1,p)] ; if op(2,p) > 1 then a := [op(a),op(2,p)] ; fi; od: od: a ; end: L := pflat(300) ; for n from 1 to nops(L)-2 by 2 do printf("%d,", op(n,L) mod op(n+1,L) ) ; end do: # R. J. Mathar, Apr 29 2010

a(10), a(43) and perhaps others corrected by R. J. Mathar, Apr 29 2010

cp's OEIS Frontend

A136740 (0, 1, 2, 3, 2^2, 5, 23, 7, 2^3, 3^2, 25, 11, 2^23,..) becomes (2, 3, 5, 7, 11^13, 17, 1923, 29, 31^37, 41^43, 4753, 59, 61^6771,..).

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A144190 (0, 1, 2, 3, 2^2, 5, 23, 7, 2^3, 3^2, 25, 11, 2^2*3, ...) becomes (0 mod 1, 2 mod 3, 2 mod 2, 5 mod 2, 3 mod 7, 2 mod 3, 3 mod 2, 2 mod 5, 11 mod 2, 2 mod 3, ...).

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cp's OEIS Frontend

A136740 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3,..) becomes (2, 3, 5, 7, 11^13, 17, 19*23, 29, 31^37, 41^43, 47*53, 59, 61^67*71,..).

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A144190 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, ...) becomes (0 mod 1, 2 mod 3, 2 mod 2, 5 mod 2, 3 mod 7, 2 mod 3, 3 mod 2, 2 mod 5, 11 mod 2, 2 mod 3, ...).

Views

Author

Keywords

Examples

Crossrefs

Programs

Maple

Extensions

A136740 (0, 1, 2, 3, 2^2, 5, 23, 7, 2^3, 3^2, 25, 11, 2^23,..) becomes (2, 3, 5, 7, 11^13, 17, 1923, 29, 31^37, 41^43, 4753, 59, 61^6771,..).

A144190 (0, 1, 2, 3, 2^2, 5, 23, 7, 2^3, 3^2, 25, 11, 2^2*3, ...) becomes (0 mod 1, 2 mod 3, 2 mod 2, 5 mod 2, 3 mod 7, 2 mod 3, 3 mod 2, 2 mod 5, 11 mod 2, 2 mod 3, ...).