

A099073


Numbers n such that the concatenation of the first n1 odd primes in decreasing order is prime.


1




OFFSET

1,1


COMMENTS

A100003(n)=prime(a(n)). Next term is greater than 4500 and the prime corresponding to the next term has more than 21000 digits. Number of digits of primes corresponding to the six known terms of the sequence are respectively 1,2,9,43,198 & 4202. There is no known prime formed by concatenation of the first n odd primes with increasing order for 1<n<2250.


LINKS

Table of n, a(n) for n=1..6.
C. Rivera, Primes by Listing.


EXAMPLE

7 is in the sequence because the first 6 odd primes are 3,5,7,11,13,17 and 17.13.11.7.5.3 is prime (dot between numbers means concatenation).


MATHEMATICA

Do[If[PrimeQ[(v={}; Do[v=Join[v, IntegerDigits[Prime[nj+1]]], {j, n1}]; FromDigits[v])], Print[n]], {n, 2, 4500}]
Select[Range[1100], PrimeQ[FromDigits[Flatten[IntegerDigits/@ Reverse[ Prime[ Range[ 2, #]]]]]]&] (* Harvey P. Dale, Nov 12 2017 *)


CROSSREFS

Cf. A046035, A099070, A099071.
Sequence in context: A296397 A102710 A048824 * A129724 A308161 A094697
Adjacent sequences: A099070 A099071 A099072 * A099074 A099075 A099076


KEYWORD

base,more,nonn,nice


AUTHOR

Farideh Firoozbakht, Nov 06 2004


STATUS

approved



