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A099078 Numbers n such that pi(n).pi(n-1) ... pi(3).pi(2) is prime (dot between numbers means concatenation). 3
5, 22, 48, 317, 734, 5235 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Number of digits of primes corresponding to the five known terms of this sequence are respectively 4,21,67,605,1633.

LINKS

Table of n, a(n) for n=1..6.

C. Rivera, ,Primes by Listing, The Prime Puzzles & Problems connection.

Eric Weisstein ,A Section of The World of Mathematics

EXAMPLE

5 is in the sequence because pi(5).pi(4).pi(3).pi(2)=3221 is prime.

MATHEMATICA

s = ""; Do[s = ToString[PrimePi[n]] <> s; k = ToExpression[s]; If[PrimeQ[k], Print[n]], {n, 2, 5235}] (Propper)

CROSSREFS

Cf. A046035, A099077, A099079, A099080.

Sequence in context: A085101 A184724 A082005 * A049452 A209116 A033445

Adjacent sequences:  A099075 A099076 A099077 * A099079 A099080 A099081

KEYWORD

base,more,nonn

AUTHOR

Farideh Firoozbakht, Oct 23 2004

EXTENSIONS

One more term from Ryan Propper (rpropper(AT)stanford.edu), Aug 30 2005

STATUS

approved

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Last modified May 20 13:49 EDT 2013. Contains 225461 sequences.