

A183071


Positive integers k such that each prime divisor of 2^k  1 has the form 4j + 3.


8



1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 17, 19, 26, 30, 31, 34, 38, 43, 51, 61, 62, 65, 79, 85, 86, 89, 93, 95, 107, 122, 127, 129, 130, 133, 158, 170, 193, 254, 255, 301, 311, 331, 349, 389, 445, 521, 557, 577, 579, 607, 631, 647, 1103, 1167
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OFFSET

1,2


COMMENTS

The exponents of the Mersenne primes (A000043) are contained in this sequence.
Needed factorizations are in the Cunningham Project.


LINKS

Table of n, a(n) for n=1..54.
S. S. Wagstaff, Jr., The Cunningham Project.


FORMULA

A183075(n) = 2^a(n)  1.


EXAMPLE

6 is in this sequence because 2^6  1 = 3^2 * 7, and 3 and 7 have the form 4j + 3.


CROSSREFS

Cf. A000043, A136003, A183072, A183073, A183074.
Cf. A000668, A136005, A183075, A183076, A183077, A183078.
Sequence in context: A101323 A298705 A030051 * A139826 A182048 A028722
Adjacent sequences: A183068 A183069 A183070 * A183072 A183073 A183074


KEYWORD

nonn


AUTHOR

Stuart Clary, Dec 23 2010


EXTENSIONS

a(53)a(54) from Amiram Eldar, Feb 18 2019


STATUS

approved



