OFFSET
1,1
COMMENTS
Original definition : Primes of the form 1/x+2/x+3/x+4/x+5/x+6/x+7/x+..., x=210.
The corresponding m-values are m=35,84,140,419,420. It is clear that for m>420, T(m)/210 = m(m+1)/420 cannot be a prime, since then each factor in the numerator is larger than the denominator. All of the sequences A154296, ..., A154304 could or should be grouped together in a single ("fuzzy"?) table. It would be more interesting to have the function f(n) which gives the *number* of primes of the form T(k)/n. - M. F. Hasler, Jan 06 2013
MATHEMATICA
lst={}; s=0; Do[s+=n/210; If[Floor[s]==s, If[PrimeQ[s], AppendTo[lst, s]]], {n, 0, 6*9!}]; lst
PROG
(PARI) A154304(d=210)={select(x->denominator(x)==1 && isprime(x), vector(d*=2, m, m^2+m)/d)} \\ - M. F. Hasler, Jan 06 2013
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
Vladimir Joseph Stephan Orlovsky, Jan 06 2009
EXTENSIONS
Edited by M. F. Hasler, Jan 06 2013
STATUS
approved