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A236849 Numbers that occur as results of remultiplication (GF(2)[X] -> N) of some number and have at least one prime divisor encoding a reducible polynomial in ring GF(2)[X]. 5

%I #13 Mar 13 2014 14:28:04

%S 25,50,55,75,87,100,110,115,145,150,165,174,175,185,200,203,213,220,

%T 225,230,253,261,275,285,290,299,300,301,319,325,330,345,348,350,355,

%U 357,370,375,385,391,395,400,406,415,425,426,435,440,445,450,460,475,477,495,505,506,515,522,525,529,535,545,550,555

%N Numbers that occur as results of remultiplication (GF(2)[X] -> N) of some number and have at least one prime divisor encoding a reducible polynomial in ring GF(2)[X].

%C Terms of A236842 (A234742) that are divisible by at least one of the primes in A091209.

%C a(4)=75, is the first term here which does not occur in A236834. On the other hand, A236834(5)=91 is the first of its terms that does not occur here.

%H Antti Karttunen, <a href="/A236849/b236849.txt">Table of n, a(n) for n = 1..13105</a>

%o (Scheme, with _Antti Karttunen_'s IntSeq-library)

%o (define A236849 (COMPOSE A236842 (MATCHING-POS 1 1 (lambda (n) (any (lambda (p) (= 1 (A091247 p))) (ifactor (A236842 n)))))))

%Y Setwise difference A236848 \ A236844, and also A236842 \ A236860.

%Y Cf. A091209, A234742, A236842, A236848, A236834.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jan 31 2014

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Last modified April 25 06:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)