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A101700 Numbers of the form 3*(10^n-3), where 10^n-3 is prime. +0
7
21, 291, 2991, 299999999999999991 (list; graph; listen)
OFFSET

1,1

COMMENT

a(5) = 3*(10^140-3) is 141 digits long and is too large to include.

If m is in this sequence then phi(m)=r(m), so this sequence is a subsequence of A069215. a(n)=3*(10^A089675(n)-3), so a(4)=3*(10^17-3), a(5)=3*(10^140-3), a(6)=3*(10^990-3), a(7)=3*(10^1887-3), a(8)=3*(10^3530-3), a(9)=3*(10^5996-3), a(10)=3*(10^13820-3), a(11)=3*(10^21873-3) & a(12)=3*(10 ^26045-3).

FORMULA

a(n) = 3*(10^A089675(n) - 3).

EXAMPLE

299999999999999991 is in the sequence because (10^17-3) is prime and 3*(10^17-3)=299999999999999991.

MATHEMATICA

Do[If[PrimeQ[10^n-3], Print[3*(10^n-3)]], {n, 150}]

CROSSREFS

Cf. A086947, A089675, A069215.

Sequence in context: A101703 A102018 A086947 this_sequence A022291 A025944 A025962

Adjacent sequences: A101697 A101698 A101699 this_sequence A101701 A101702 A101703

KEYWORD

nonn

AUTHOR

Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Dec 31 2004

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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