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A262208

a(n) = prime(n)^prime(n) mod n^n.

0, 3, 20, 247, 1861, 28669, 202564, 12127115, 115222124, 6126483469, 19465244918, 4282552771669, 4226847828547, 3334905643119667, 311202902635062863, 13506468355090939237, 455126377640041434982, 3558300899222541879853

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OFFSET

1,2

COMMENTS

Inspired by A262207.

LINKS

Table of n, a(n) for n=1..18.

FORMULA

a(n) = A051674(n) mod A000312(n).

EXAMPLE

For n = 2, a(n) = 27 mod 4 = 3.

MATHEMATICA

Table[Mod[Prime[n]^Prime[n], n^n], {n, 18}] (* Michael De Vlieger, Sep 15 2015 *)

PROG

(PARI) a(n) = (prime(n)^prime(n)) % (n^n);

vector(20, n, a(n))

(Magma) [NthPrime(n)^NthPrime(n) mod n^n: n in [1..20]]; // Vincenzo Librandi, Sep 16 2015

CROSSREFS

Cf. A262207, A051674, A000312, A004648.

Sequence in context: A256018 A227469 A349928 * A324955 A183607 A331504

Adjacent sequences: A262205 A262206 A262207 * A262209 A262210 A262211

KEYWORD

nonn,easy

AUTHOR

Altug Alkan, Sep 15 2015

STATUS

approved

URL: https://oeis.org/A262208

⇱ A262208 - OEIS