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A051323 Euclid-Mullin sequence (A000945) with initial value a(1)=67 instead of a(1)=2. 0
67, 2, 3, 13, 5227, 7, 5, 4637, 107, 23, 1889, 50929, 31, 1677554191669, 538282187, 59, 37, 17046661, 81088366624779421, 11, 6242880316142699576539967984792911, 73, 17, 1187, 101, 883, 3491, 47, 83, 852851, 317, 1493, 579707, 109, 1579145715181, 179, 1618489, 331 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

MATHEMATICA

a[1]=67; a[n_] := First[ Flatten[ FactorInteger[ 1+Product[ a[ j ], {j, 1, n-1} ] ] ] ]; Array[a, 10]

PROG

(PARI) spf(n)=my(f=factor(n)[1, 1]); f

first(m)=my(v=vector(m)); v[1]=67; for(i=2, m, v[i]=spf(1+prod(j=1, i-1, v[j]))); v \\ Anders Hellström, Dec 06 2015

CROSSREFS

Cf. A000945, A000946, A005265, A005266.

Sequence in context: A246241 A337893 A008991 * A112506 A033387 A102891

Adjacent sequences:  A051320 A051321 A051322 * A051324 A051325 A051326

KEYWORD

nonn

AUTHOR

Labos Elemer

EXTENSIONS

a(21)-a(38) from Robert Price, Jul 12 2015

STATUS

approved

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Last modified October 2 01:30 EDT 2022. Contains 357191 sequences. (Running on oeis4.)