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A222565 Primes that are the largest anti-divisor of primes. 5

%I #14 Mar 12 2024 02:40:37

%S 2,3,5,7,11,13,19,29,31,41,47,53,59,67,71,73,101,109,127,131,149,151,

%T 167,179,181,211,233,239,281,293,307,311,347,349,379,401,409,421,431,

%U 439,449,461,467,479,541,547,569,571,587,607,613,619,631,647,661,673,701

%N Primes that are the largest anti-divisor of primes.

%C See A066272 for definition of anti-divisor.

%C Primes p such that 2p + largest anti-divisor of 2p is also prime: 2, 5, 7, 11, 13, 29, 31, 41, 47, 59, 67, 79, 83, 101, 137, 139, 151, 157, 167, 173, 193, 223, 227, 239, 257,...

%H Paolo P. Lava, <a href="/A222565/b222565.txt">Table of n, a(n) for n = 1..1000</a>

%F 2 together with primes of the form 4k+1 such that 6k+1 is prime, together with primes of the form 4k+3 such that 6k+5 is prime. - _Charles R Greathouse IV_, Feb 27 2013

%e The prime 19 is here because it is largest anti-divisor of prime 29.

%o (PARI) is(n)=isprime(n)&&isprime(bitor((3*n-1)\2,1)) \\ _Charles R Greathouse IV_, Feb 27 2013

%Y Cf. A066481.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Feb 25 2013

%E Missing terms a(9), a(21), a(28), a(29) added by _Charles R Greathouse IV_, Feb 27 2013

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Last modified April 24 05:40 EDT 2024. Contains 371918 sequences. (Running on oeis4.)