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Search: id:A108050
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| A108050 |
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Integers n such that 10^n+21 is prime. |
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+0 28
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| 1, 3, 9, 17, 55, 77, 133, 195, 357, 1537, 2629, 3409, 8007
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Some of the larger entries may only correspond to probable primes.
There cannot be any primes of this form when n is even, because all such numbers must be divisible by 11. A number is divisible by 11 if the difference between the sum of its odd digits and the sum of its even digits is 0 or divisible by 11. When n is even the difference is always 0. - Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Jul 12 2008
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EXAMPLE
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For n=3 we have 10^3+21 = 1000+21 = 1021, which is prime.
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MATHEMATICA
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q=21; s=""; For[ a=q, a<=q, s="10^n+"<>ToString[ a ]<>":"; n=0; For[ i=1, i< 10^3, If[ PrimeQ[ 10^i+a ], n=1; s=s<>ToString[ i ]<>", " ]; i++ ]; If[ n>0, Print[ s ] ]; a++ ] - Vladimir Orlovsky, May 06 2008
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CROSSREFS
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Cf. A049054, A088274, A088275.
Sequence in context: A011755 A128301 A018307 this_sequence A009211 A105538 A056404
Adjacent sequences: A108047 A108048 A108049 this_sequence A108051 A108052 A108053
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KEYWORD
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hard,more,nonn
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AUTHOR
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Julien Peter Benney (jpbenney(AT)ftml.net), Jun 01 2005
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EXTENSIONS
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Corrected by Vladimir Orlovsky, May 06 2008
a(10)-a(13) from Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Jul 12 2008
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