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A285690 a(1) = 2; a(n + 1) = smallest prime > a(n) such that a(n + 1) - a(n) is the product of five primes. 5
2, 569, 601, 673, 853, 1021, 1069, 1117, 1229, 1277, 1439, 1471, 1543, 1663, 1783, 1831, 1879, 1951, 1999, 2111, 2143, 2251, 2371, 2539, 2647, 2719, 2767, 2879, 2927, 2999, 3079, 3187, 3259, 3307, 3469, 3517, 3637, 3709, 3821, 3853, 4021, 4093, 4201 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

First differences: 567, 32, 72, 180, 168, 48, 48, 112, 48, 162, 32, 72, 120, 120, 48, 48, 72, 48, 112, 32, ...

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

MAPLE

A[1]:= 2:

for n from 2 to 100 do

  p:= A[n-1];

  do

    p:= nextprime(p);

    if numtheory:-bigomega(p-A[n-1])=5 then A[n]:= p; break fi

od od:

seq(A[i], i=1..100); # Robert Israel, Nov 04 2019

MATHEMATICA

NestList[Module[{p = NextPrime@ #}, While[PrimeOmega[p - #] != 5, p = NextPrime@ p]; p] &, 2, 40] (* Michael De Vlieger, Apr 25 2017 *)

CROSSREFS

Cf. A255609, A285688, A285689.

Sequence in context: A201247 A265633 A117509 * A201603 A200964 A243479

Adjacent sequences:  A285687 A285688 A285689 * A285691 A285692 A285693

KEYWORD

nonn

AUTHOR

Zak Seidov, Apr 24 2017

STATUS

approved

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Last modified October 25 16:10 EDT 2021. Contains 348255 sequences. (Running on oeis4.)