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A089523 Primes p such that mu(p+1) = 1; that is, p+1 is squarefree and has an even number of distinct prime factors, where mu is the Moebius function. 2
5, 13, 37, 61, 73, 157, 193, 277, 313, 389, 397, 421, 457, 461, 509, 541, 569, 613, 661, 673, 733, 757, 769, 797, 857, 877, 929, 997, 1093, 1109, 1153, 1201, 1213, 1217, 1229, 1237, 1289, 1301, 1321, 1381, 1409, 1429, 1453, 1481, 1553, 1609, 1621, 1657 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

Eric Weisstein's World of Mathematics, Moebius Function

MAPLE

select(n -> isprime(n) and numtheory:-mobius(n+1)=1, [seq(i, i=1..2000, 4)]); # Robert Israel, Aug 16 2018

MATHEMATICA

Select[Prime[Range[300]], MoebiusMu[ #+1]==1&]

PROG

(PARI) isok(p) = isprime(p) && (moebius(p+1) == 1); \\ Michel Marcus, Aug 16 2018

(MAGMA) [p: p in PrimesUpTo(2000) | MoebiusMu(p+1) eq 1]; // Vincenzo Librandi, Aug 17 2018

CROSSREFS

Cf. A089495 (mu(p+1) for prime p), A049098 (primes p with mu(p+1)=0), A078329 (primes p with mu(p+1)=-1).

Sequence in context: A342475 A107144 A137815 * A058507 A111057 A019268

Adjacent sequences:  A089520 A089521 A089522 * A089524 A089525 A089526

KEYWORD

nonn

AUTHOR

T. D. Noe, Nov 06 2003

STATUS

approved

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Last modified May 12 23:09 EDT 2021. Contains 343829 sequences. (Running on oeis4.)