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A049054 Numbers n such that 10^n + 3 is prime. 25
1, 2, 5, 6, 11, 17, 18, 39, 56, 101, 105, 107, 123, 413, 426, 2607, 7668, 10470, 11021, 17753, 26927, 60776, 98288 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

A102006 is another version of the same sequence. - N. J. A. Sloane, Jan 28 2010.

Verified existing 21 terms. If another term exists, it is > 39456. [From Robert Price (pamandbobprice(AT)yahoo.com), Aug 16 2010]

No other terms <100,000. - [From Robert Price (pamandbobprice(AT)yahoo.com), March 3 2011]

LINKS

Makoto Kamada, Factorizations of 100...003.

Sabin Tabirca and Kieran Reynolds, Lacunary Prime Numbers.

Index entries for primes involving repunits.

EXAMPLE

5 is a member since 10^5 + 3 = 100003 is a prime.

6 is a member since 10^6 + 3 = 1000003 is a prime.

MATHEMATICA

Do[ If[ PrimeQ[ 10^n + 3], Print[n]], {n, 0, 18000}] (from Robert G. Wilson v Jun 15 2002)

CROSSREFS

Cf. A102006, A159352.

Sequence in context: A180323 A103035 A088273 * A135476 A051217 A110975

Adjacent sequences:  A049051 A049052 A049053 * A049055 A049056 A049057

KEYWORD

more,nonn

AUTHOR

G. L. Honaker, Jr. (honak3r(AT)gmail.com)

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 15 2002

a(16) from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 09 2003

a(17)-a(20) from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 18 2005

a(21)=26927 from Jason Earls (zevi_35711(AT)yahoo.com), Jan 01 2008

a(22)=60776 from Robert Price (pamandbobprice(AT)yahoo.com), Jan 09 2011

a(23)=98288 from Robert Price (pamandbobprice(AT)yahoo.com), Mar 03 2011

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Last modified February 13 05:39 EST 2012. Contains 205436 sequences.