This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A337095 #30 Dec 21 2024 15:19:28 %S A337095 5,17,23,31,53,59,67,71,97,101,109,127,131,139,173,181,211,233,263, %T A337095 269,271,331,349,353,373,379,421,431,443,449,457,463,479,487,499,503, %U A337095 523,563,587,607,617,631,647,659,661,677,683,691,701,719,757,787,797,811,827,829,839 %N A337095 Prime numbers that can be expressed as the sum of k>1 consecutive prime numbers in only one way. %H A337095 Jon E. Schoenfield, <a href="/A337095/b337095.txt">Table of n, a(n) for n = 1..10000</a> (first 354 terms from Jean-Marc Falcoz) %F A337095 A084146 INTERSECT A000040. - _R. J. Mathar_, Aug 19 2020 %e A337095 a(1) = 5 is the sum of k>1 consecutive primes in exactly one way: 5 = 2+3; %e A337095 a(2) = 17 is the sum of k>1 consecutive primes in exactly one way: 17 = 2+3+5+7; %e A337095 a(3) = 23 is the sum of k>1 consecutive primes in exactly one way: 23 = 2+3+5+7+11; %e A337095 a(4) = 31 is the sum of k>1 consecutive primes in exactly one way: 31 = 7+11+13; %e A337095 a(5) = 53 is the sum of k>1 consecutive primes in exactly one way: 53 = 5+7+11+13+17; etc. %e A337095 The prime number 41 is not in the sequence because 41 is the sum of k>1 consecutive primes in more than one way: 41 = 2+3+5+7+11+13 and 41 = 11+13+17. %Y A337095 Cf. A084146. %K A337095 nonn %O A337095 1,1 %A A337095 _Eric Angelini_ and _Jean-Marc Falcoz_, Aug 15 2020