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 A154301 #8 Jan 06 2013 17:34:39
%S A154301 17,37,149,151
%N A154301 Primes of the form (1+2+...+m)/75 = A000217(m)/75.
%C A154301 Original definition: "Primes of the form : 1/x+2/x+3/x+4/x+5/x+6/x+7/x+..., x=75."
%C A154301 The corresponding m-values are m=50,74,149,150. It is clear that for m>2*75, T(m)/75 = m(m+1)/150 cannot be a prime, since then each factor in the numerator is larger than the denominator. See A154304 for further comments and PARI code. - _M. F. Hasler_, Jan 06 2013
%t A154301 lst={};s=0;Do[s+=n/75;If[Floor[s]==s,If[PrimeQ[s],AppendTo[lst,s]]],{n,0,3*9!}];lst
%o A154301 (PARI) d=75*2;for(m=1,999,(m^2+m)%d==0&isprime((m^2+m)/d)&print1(m",")) \\ print the m-values(!) - use A154304(75) to get A154301 as a vector. \\ - _M. F. Hasler_, Jan 06 2013
%Y A154301 Cf. A057570, A154293, A154296 - A154304.
%K A154301 nonn,fini,full,easy,bref
%O A154301 1,1
%A A154301 _Vladimir Joseph Stephan Orlovsky_, Jan 06 2009
%E A154301 Keywords fini,full added by _R. J. Mathar_, Aug 15 2010
%E A154301 Edited by _M. F. Hasler_, Jan 06 2013