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A146764 Primes not in A075255. 1

%I #8 Jun 14 2017 01:10:08

%S 13,61,73,109,151,181,229,241,257,293,307,313,349,353,373,397,409,487,

%T 509,557,571,577,601,613,643,653,661,709,727,733,739,751,761,773,811,

%U 823,937,941,977

%N Primes not in A075255.

%C It has been asked whether A146071 contains all primes. The answer is no: since A075255(n) > n/2-2 for nonprime n, any prime p that did not appear until the rank 2(p+2) is not in A075255. This is a sufficient condition for not being in A146071, but unless proved otherwise, there may be primes in A075255, i.e., not listed here, which nevertheless do not appear in A146071.

%o (PARI) A146764( END=999 )=local( n=1, t=0, k); forprime( p=1,END, while( n<2*(p+2), isprime( k=A075255(n++)) || next; t=bitor(1<<primepi(k),t)); bittest(t,primepi(p)) || print1(p","))

%Y Cf. A075255, A146071, A145834.

%K easy,nonn

%O 1,1

%A _M. F. Hasler_, Nov 04 2008

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Last modified May 1 22:18 EDT 2024. Contains 372178 sequences. (Running on oeis4.)