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 A166462 Primes from twin prime pairs. 0

%I #4 Apr 03 2023 10:36:11

%S 3,3,2,5,3,3,5,5,7,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,

%T 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,

%U 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,2,2,2,3,2,3,3,3,2,3,3,2,3,3,3,2,2

%N Primes from twin prime pairs.

%C The terms are found by finding the digit sum of twin prime pairs and then dividing the digit sum by the total number of digits in the twin primes combined.

%H Chris Caldwell, <a href="https://t5k.org/lists/small/1ktwins.txt">The First 1,008 Twin Primes</a>

%e The digit sum of the twin primes pairs 41 and 43 is 12 which when divided by 4 gives 3, a prime, which is the first term in the sequence. The digit sum of the twin prime pairs 347 and 349 is 30 which when divided by 6 gives 5, a prime, which is the fourth term in the sequence. The digit sum of the twin prime pairs 431 and 433 is 18 which when divided by 6 gives 3, a prime, which is the fifth term in the sequence. The digit sum of the twin prime pairs 857 and 859 is 42 which when divided by 6 gives 7, a prime, which is the ninth term in the sequence.

%Y Cf. A001359

%K base,nonn

%O 1,1

%A _Parthasarathy Nambi_, Oct 14 2009

%E Terms beyond a(11) from _R. J. Mathar_, Jan 25 2010

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Last modified November 28 19:28 EST 2023. Contains 367419 sequences. (Running on oeis4.)