A373533 - OEIS

A373533

Least starting prime of exactly n consecutive primes p_i (i = 1..n) such that omega(p_i + 1) = 1 + i.

5, 23, 499, 13093, 501343, 162598021, 25296334003

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

EXAMPLE

a(1) = 5, because omega(5+1) = 2, and no lesser number has this property.

For n=3, the primes starting at a(3) = 499 are as follows and are a run of exactly 3 omega = i+1,

i = 1 2 3

p = 499, 503, 509, 521

omega(p+1) = 2, 3, 4, 3

\-----------/

MATHEMATICA

a[n_]:=Module[{k=1}, While[Product[Boole[PrimeNu[Prime[k+i-1]+1]==1+i], {i, n}]==0, k++]; Prime[k]]; Array[a, 5] (* Stefano Spezia, Jun 10 2024 *)

CROSSREFS

KEYWORD

nonn,more

AUTHOR

STATUS

approved