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A051308 Euclid-Mullin sequence (A000945) with initial value a(1)=5 instead of a(1)=2. 38
5, 2, 11, 3, 331, 19, 199, 53, 21888927391, 29833, 101, 71, 23, 311, 7, 72353, 13, 227, 96014559769, 5641, 41, 82107739003, 67, 169637539, 61, 29, 31319, 17, 97, 238591921, 313, 102065429, 157, 37, 595553520313, 244217, 241 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The initial primes 3 and 7 give essentially A000945.

EXAMPLE

5*2*11*3+1=331 prime, the least prime factor 330*331+1=109231=19*5749, so a[ 6 ]=19

MATHEMATICA

a[1]=5; a[n_] := First[ Flatten[ FactorInteger[ 1+Product[ a[ j ], {j, 1, n-1} ] ] ] ]; Array[a, 10]

CROSSREFS

Cf. A000945, A000946, A005265, A005266.

Sequence in context: A094683 A094685 A095396 * A074642 A194034 A163257

Adjacent sequences:  A051305 A051306 A051307 * A051309 A051310 A051311

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu)

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Last modified February 16 12:15 EST 2012. Contains 205909 sequences.