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!)
A136288 Primes which are the absolute value of the alternating sum and difference of the first n primes. 1
2, 3, 5, 7, 13, 19, 29, 53, 61, 71, 79, 83, 97, 103, 113, 139, 149, 151, 157, 163, 167, 191, 199, 233, 251, 281, 337, 347, 353, 397, 421, 433, 461, 563, 599, 643, 719, 773, 797, 811, 859, 883, 953, 977, 1031, 1039, 1061, 1063, 1091, 1097, 1153, 1187, 1201, 1213 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Dmitry Kamenetsky, Table of n, a(n) for n = 1..10000 (first 144 terms by Paolo P. Lava and Giorgio Balzarotti)

FORMULA

A000040 INTERSECT A008347. - R. J. Mathar, Apr 04 2008

EXAMPLE

5 = abs(2-3+5-7+11-13) (first 6 primes),

7 = abs(2-3+5-7+11-13+17-19) (first 8 primes),

etc.

MAPLE

P:=proc(n) local i, s; s:=0; for i from 1 by 1 to n do s:=s+(-1)^i*ithprime(i); if isprime(abs(s)) then print(abs(s)); fi; od; end: P(1000);

MATHEMATICA

Select[Abs@Accumulate@Table[(-1)^(k+1)*Prime@k, {k, 355}], PrimeQ] (* Giorgos Kalogeropoulos, Sep 22 2021 *)

CROSSREFS

Cf. A000040, A008347, A013918.

Sequence in context: A062326 A198273 A066076 * A344604 A175762 A088091

Adjacent sequences:  A136285 A136286 A136287 * A136289 A136290 A136291

KEYWORD

easy,nonn

AUTHOR

Paolo P. Lava and Giorgio Balzarotti, Mar 20 2008

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 6 13:24 EST 2021. Contains 349563 sequences. (Running on oeis4.)