A154298 Primes of the form (1+...+m)/33 = A000217(m)/33, for some m.

2, 7, 17, 67

Offset

1,1

Comments

Primes which are some triangular number A000217 divided by 33. Finiteness is shown with the same strategy as in A154297.

Original definition: Primes of the form : 1/x+2/x+3/x+4/x+5/x+6/x+7/x+..., x=33.

The corresponding m-values are m=11, 21, 33, 66 (cf. A154296). It is clear that for m>66, A000217(m)/33 = m(m+1)/66 cannot be a prime. - M. F. Hasler, Dec 31 2012

Links

Table of n, a(n) for n=1..4.

Mathematica

lst={}; s=0; Do[s+=n/33; If[Floor[s]==s, If[PrimeQ[s], AppendTo[lst, s]]], {n, 0, 9!}]; lst

Prog

(PARI) select(x->denominator(x)==1 & isprime(x), vector(66, m, m^2+m)/66)  \\ - M. F. Hasler, Dec 31 2012

Crossrefs

Cf. A057570, A154293, A154296 - A154304.

Sequence in context: A182667 A067602 A216389 * A225806 A283754 A122382

Adjacent sequences: A154295 A154296 A154297 * A154299 A154300 A154301

Keyword

nonn,fini,full,easy

Author

Vladimir Joseph Stephan Orlovsky, Jan 06 2009

Extensions

Edited by M. F. Hasler, Dec 31 2012

Status

approved