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A061410
Numbers k such that m*2^k+1 is not prime for all coefficients m in the range 0<=m<=k.
6
9, 10, 22, 31, 86, 99, 100, 101, 113, 114, 115, 130, 135, 136, 149, 154, 169, 217, 218, 223, 224, 283, 301, 309, 358, 383, 384, 422, 423, 424, 425, 426, 449, 457, 473, 495, 505, 506, 541, 542, 548, 549, 564, 571, 572, 573, 628, 668, 670, 681, 682, 683, 713
OFFSET
1,1
LINKS
MAPLE
filter:= n -> andmap(not isprime, [seq(m*2^n+1, m=1..n)]):
select(filter, [$1..1000]); # Robert Israel, Dec 10 2017
MATHEMATICA
okQ[n_] := AllTrue[2^n Range[n] + 1, CompositeQ];
Select[Range[1000], okQ] (* Jean-François Alcover, Mar 25 2019 *)
PROG
(PARI) isok(n) = {for (m=0, n, if (isprime(m*2^n+1), return (0)); ); return (1); } \\ Michel Marcus, Dec 11 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Patrick De Geest, May 15 2001
STATUS
approved