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A194829 Records of primes q in the representation of odd n>5 by n=2*p+q, p, q prime, q minimal. A194828 gives the values of n at which an increase of q is required. 5

%I #28 Dec 27 2012 11:39:37

%S 3,5,7,13,17,37,61,73,109,181,277,317,349,397,419,503,577,601,709,829,

%T 877,1129,1237,1367,1429,1669,1993,2467,2833,2879,3001,3037,3329,3821,

%U 4861,5003,5281,5821,5897,6301,6329,6421,7129,7309,7873,8017,8597,8821,8969,9157

%N Records of primes q in the representation of odd n>5 by n=2*p+q, p, q prime, q minimal. A194828 gives the values of n at which an increase of q is required.

%C See A002091. Checked up to n=2*10^13.

%D See A002091.

%H See A002091.

%e a(5)=17, because it is the smallest possible value of q in the representation of 55=2*p+q. 55-3=52, 55-5=50, 55-7=48, 55-11=44, 55-13=42, none of which has the form 2*p. 55-17=38=2*19. All odd numbers < 55 can be represented using a q<17.

%Y Cf. A194828, A002091, A002092 [q=1 allowed], A195354.

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Sep 03 2011

%E a(35)-a(43) from _Hugo Pfoertner_, Sep 11 2011

%E a(44)-a(49) from _Hugo Pfoertner_, Sep 18 2011

%E a(50) from _Hugo Pfoertner_, Sep 22 2011

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Last modified March 28 16:12 EDT 2024. Contains 371254 sequences. (Running on oeis4.)