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=15.
The corresponding m-values are m=9, 14, 29, 30. It is clear that for m > 30, T(m)/15 = m*(m+1)/30 cannot be a prime. - M. F. Hasler, Dec 31 2012
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
Also primes p such that 120*p+1 is a perfect square. - Lamine Ngom, Jul 22 2023
MATHEMATICA
lst={}; s=0; Do[s+=n/15; If[Floor[s]==s, If[PrimeQ[s], AppendTo[lst, s]]], {n, 0, 9!}]; lst
Select[(Accumulate[Range[200]])/15, PrimeQ] (* Harvey P. Dale, Oct 30 2011 *)
PROG
(PARI) select(x->denominator(x)==1 & isprime(x), vector(30, m, m^2+m)/30) \\ M. F. Hasler, Dec 31 2012
CROSSREFS
KEYWORD
nonn,fini,full,easy
AUTHOR
Vladimir Joseph Stephan Orlovsky, Jan 06 2009
EXTENSIONS
Edited by M. F. Hasler, Dec 31 2012
STATUS
approved