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A096548 Difference between the smallest 10^n-digit prime and 10^(10^n-1). +0
1
7, 289, 7, 33603, 309403 (list; graph; listen)
OFFSET

1,1

COMMENT

Daniel Heuer found a(5) in 2004 by sieving up to 2^33 and then checking ~8000 candidates with pfgw-linux. Proving primality of 10^99999+309403 is beyond current (2004) technology.

LINKS

Prime Curios, 10000...33603 (10000-digits).

Chris K. Caldwell, The largest known primes.

Daniel Heuer, Smallest 100000-digit prime? Discussion in the PrimeForm user group.

Henri Lifchitz, Renaud Lifchitz, Probable Primes Top 10000.

EXAMPLE

a(1)=7 because the smallest ten-digit prime is 1000000007.

a(2)=289 because the smallest 100-digit prime is 10^99+289.

CROSSREFS

Cf. A033873.

Sequence in context: A065581 A062646 A009503 this_sequence A160072 A137435 A041851

Adjacent sequences: A096545 A096546 A096547 this_sequence A096549 A096550 A096551

KEYWORD

hard,nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Jul 06 2004

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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