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A135731
a(1) = 3; thereafter a(n+1) = a(n) + nextprime(a(n)) - prevprime(a(n)).
5
3, 6, 8, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 54, 60, 62, 68, 72, 74, 80, 84, 90, 98, 102, 104, 108, 110, 114, 128, 132, 138, 140, 150, 152, 158, 164, 168, 174, 180, 182, 192, 194, 198, 200, 212, 224, 228, 230, 234, 240, 242, 252, 258, 264, 270, 272, 278
OFFSET
1,1
COMMENTS
Essentially the same as A008864. [From R. J. Mathar, Oct 28 2008]
Only the first term is prime, the rest are even, and between any pair of adjacent terms a(n) and a(n+1), there is just one prime, namely prime(n+2). - David James Sycamore, Dec 07 2018
LINKS
FORMULA
a(n+1) = a(n) + A001223(n+1) for n>1. - David James Sycamore, Dec 07 2018
EXAMPLE
a(1) = 3, so a(2) = 3 + (5-2) = 6,
a(3) = 6 + (7-5) = 8,
a(4) = 8 + (11-7) = 12; etc.
MATHEMATICA
NestList[#+NextPrime[#]-NextPrime[#, -1]&, 3, 60] (* Harvey P. Dale, Oct 13 2024 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Enoch Haga, Nov 26 2007
EXTENSIONS
Definition corrected and entry revised by David James Sycamore, Dec 07 2018
STATUS
approved