%I A127269
%S A127269 5,7,11,67,97,103,107,109,113,163,173,197,263,283,331,359,389,409,419,
%T A127269 431,461,463,521,569,599,607,659,761,787,797,809,811,829,857,877,911,
%U A127269 1019,1039,1061,1087,1093,1277,1283,1289,1301,1409,1427,1451,1481,1627
%N A127269 Suppose the sum of the prime factors of the composites between prime(n) 
               and prime(n+1) is prime. Sequence gives prime(n).
%e A127269 Prime(4) = 7, prime(5) = 11. Sum of prime factors of 8 is 2+2+2 = 6, 
               sum of prime factors of 9 is 3+3 = 6, sum of prime factors of 10 
               is 2+5= 7; 6+6+7 = 19 is prime, hence prime(4) = 7 is a term.
%e A127269 Prime(19) = 67, prime(20) = 71. Sum of prime factors of 68, 69, 70 is 
               resp. 2+2+17 = 21, 3+23 = 26, 2+5+7 = 14; 21+26+14 = 61 is prime, 
               hence prime(19) = 67 is a term.
%e A127269 Prime(26) = 101, prime(27) = 103. Sum of prime factors of 102 = 2*3*17 
               is 22, which is composite. Hence prime(26) = 101 is not in the sequence.
%o A127269 (MAGMA) [ p: p in [ NthPrime(k): k in [2..258] ] | IsPrime(&+[ &+[ k[1]*k[2]: 
               k in Factorization(c) ]: c in [p+1..NextPrime(p)-1] ] ) ]; /* Klaus 
               Brockhaus, Mar 29 2007 */
%Y A127269 Sequence in context: A045968 A066367 A098036 this_sequence A071781 A091509 
               A027728
%Y A127269 Adjacent sequences: A127266 A127267 A127268 this_sequence A127270 A127271 
               A127272
%K A127269 nonn
%O A127269 1,1
%A A127269 J. M. Bergot (thekingfishb(AT)yahoo.ca), Mar 27 2007
%E A127269 Edited, corrected and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), 
               Mar 29 2007