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!)
A068364 Primes p such that there exists k such that p = prime(k) + prime(k+2) + prime(k+4) + prime(k+6) + prime(k+8). 4
71, 181, 223, 307, 353, 379, 401, 541, 641, 757, 1109, 1277, 1327, 1511, 1607, 1777, 1801, 1861, 1889, 2333, 2393, 2423, 2713, 2791, 2837, 2897, 2927, 2953, 3041, 3067, 3121, 3391, 3617, 3821, 3943, 4013, 4153, 4241, 4327, 4523, 4549, 4621, 5113, 5233 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Equivalently, primes that are the sum of 5 alternate primes. - Muniru A Asiru, Feb 12 2018

LINKS

Muniru A Asiru, Table of n, a(n) for n = 1..10000

EXAMPLE

71 is prime and equal to 3 + 7 + 13 + 19 + 29, so 71 is a term.

MAPLE

p:=ithprime:  select(isprime, [seq(sum(p(2*i-1+k), i=1..5), k=0..180)]); # Muniru A Asiru, Feb 12 2018

MATHEMATICA

Select[Total /@ Table[Prime[n + m], {n, 200}, {m, 0, 8, 2}], PrimeQ] (* Harvey P. Dale, May 02 2011 *)

PROG

(GAP) P:=Filtered([1..5000], IsPrime);; Filtered(List([0..200], k-> Sum([1..5], i -> P[2*i-1+k])), IsPrime); # Muniru A Asiru, Feb 12 2018

(MAGMA) [p: k in [1..200] | IsPrime(p) where p is &+[NthPrime(k+2*i): i in [0..4]]]; // Bruno Berselli, Feb 13 2018

CROSSREFS

Cf. A068363.

Sequence in context: A044784 A142488 A331008 * A142612 A295835 A139991

Adjacent sequences:  A068361 A068362 A068363 * A068365 A068366 A068367

KEYWORD

nonn,easy

AUTHOR

Benoit Cloitre, Feb 28 2002

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 8 20:37 EST 2021. Contains 349596 sequences. (Running on oeis4.)