

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
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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(23+57+1113) (first 6 primes),
7 = abs(23+57+1113+1719) (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



