|
Search: id:A112013
|
|
|
| A112013 |
|
Primes p such that there exists at least one number j and pi(p)= d_1 d_2 ... d_j*d_(j+1) d_(j+2) ... d_k where d_1 d_2 ...d_k is the decimal expansion of p. |
|
+0
2
|
|
| 17, 73, 619, 1117, 64591, 64601, 64661, 2077121, 5070613, 8883067
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
This sequence is the prime subsequence of the sequence A112012. There is no further term up to prime(26000000).
|
|
EXAMPLE
|
8883067 is in the sequence because 8883067 is prime;
pi(8883067)=595161 & 595161=8883*067. Note that for this term j=4.
|
|
MATHEMATICA
|
Do[If[MemberQ[h=IntegerDigits[Prime[m]]; k=Length[h]; Table[FromDigits[Table[h[[i]], {i, j}]]*FromDigits[Table[h[[i]], {i, j+1, k}]], {j, k}], m], Print[m]], {m, 26000000}]
|
|
CROSSREFS
|
Cf. A112012.
Adjacent sequences: A112010 A112011 A112012 this_sequence A112014 A112015 A112016
Sequence in context: A002189 A002224 A096637 this_sequence A097223 A063494 A124898
|
|
KEYWORD
|
base,more,nonn
|
|
AUTHOR
|
Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Oct 09 2005
|
|
|
Search completed in 0.002 seconds
|
