login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A060333 Primes which are the sum of eight consecutive composite numbers. 1
193, 277, 353, 433, 443, 613, 643, 653, 673, 683, 739, 881, 1109, 1129, 1237, 1511, 1531, 1609, 1619, 1697, 1873, 1999, 2017, 2027, 2113, 2207, 2239, 2281, 2371, 2447, 2621, 2657, 2677, 2687, 2749, 2801, 2833, 2843, 2909, 2927, 3023, 3083, 3121, 3167 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

MAPLE

comps:= remove(isprime, [$4..1000]):

S:= add(comps[i+1..i-8], i=0..7):

select(isprime, S); # Robert Israel, Dec 12 2019

MATHEMATICA

composite[ n_Integer ] := (k = n + PrimePi[ n ] + 1; While[ k - PrimePi[ k ] - 1 != n, k++ ]; k); a = {}; Do[ p = Sum[ composite[ n + k ], {k, 0, 7} ]; If[ PrimeQ[ p ], a = Append[ a, p ] ], {n, 1, 600} ]; a

Select[Total /@ Partition[ Select[ Range@ 500, CompositeQ], 8, 1], PrimeQ] (* Giovanni Resta, Dec 13 2019 *)

CROSSREFS

Cf. A060254, A060328, A060329, A060330, A060331, A060332, A151738, A151739.

Sequence in context: A307250 A226147 A142925 * A020352 A146338 A201858

Adjacent sequences:  A060330 A060331 A060332 * A060334 A060335 A060336

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Mar 30 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 4 12:14 EST 2021. Contains 349492 sequences. (Running on oeis4.)