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A181507 Primes such that the sum of squares of digits of all primes up to itself is a prime. 2

%I #4 May 24 2012 17:33:03

%S 3,11,17,37,43,151,173,191,223,233,367,401,421,433,449,457,509,787,

%T 839,1019,1061,1103,1123,1171,1187,1217,1237,1451,1663,1709,1723,1871,

%U 1901,1973,2251,2297,2351,2371,2753,3023,3121,3181,3217,3221,3319,3389,3391

%N Primes such that the sum of squares of digits of all primes up to itself is a prime.

%C There are infinite twins: (3389,3391)-(8231,8233)-(18251,18253)-(23687,23689)-(26111,26113) .....

%H Harvey P. Dale, <a href="/A181507/b181507.txt">Table of n, a(n) for n = 1..1000</a>

%F A linear approximation for the sequence is a(n)=128.81n-3291.7

%e a(5)=43 since sum of square of digits (2,3,5,7,...primes up to 43)=439 which is prime.

%t Prime/@Flatten[Position[Accumulate[Total/@(IntegerDigits[Prime[Range[ 500]]]^2)], _?PrimeQ]] (* _Harvey P. Dale_, May 24 2012 *)

%Y Cf. A000040

%K nonn,base

%O 1,1

%A _Carmine Suriano_, Oct 25 2010

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Last modified July 31 04:10 EDT 2024. Contains 374774 sequences. (Running on oeis4.)