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A104387 Larger of two successive primes the average of which is a repdigit. 3
5, 7, 11, 101, 113, 4447, 111111113, 555555555559, 10000000000000061, 111111111111111131, 444444444444444469, 555555555555555555619, 777777777777777777777787, 333333333333333333333333333333373 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Lesser primes A104388, repdigits A104389. What is the next term?

The next term is 444444444444444444444444444444444497.  The first term with more than 100 digits is a(22) which has 109 digits. [From Harvey P. Dale, June 28 2011]

FORMULA

a(n)=p[A104386(n)+1]

MATHEMATICA

Union[Flatten[Table[NextPrime/@Select[FromDigits/@Table[PadLeft[{i}, n, i], {n, 45}], Mean[{NextPrime[#], NextPrime[#, -1]}]==#&], {i, 9}]]] (* From Harvey P. Dale, Jun 28 2011 *)

CROSSREFS

Cf. A054268, A104386, A104388, A104389.

Sequence in context: A091509 A027728 A086140 * A133761 A057659 A098040

Adjacent sequences:  A104384 A104385 A104386 * A104388 A104389 A104390

KEYWORD

nonn,base

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Mar 04 2005

EXTENSIONS

More terms from Giovanni Resta (g.resta(AT)iit.cnr.it), Apr 05 2006

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Last modified February 13 16:45 EST 2012. Contains 205523 sequences.