|
|
A241221
|
|
Primes obtained by merging 5 successive digits in the decimal expansion of sqrt(2) + sqrt(3) + sqrt(5).
|
|
1
|
|
|
47441, 87383, 66809, 80953, 87119, 19753, 48163, 81637, 35591, 52967, 96763, 30727, 77621, 80809, 16903, 35051, 14159, 24877, 56437, 24677, 67723, 32077, 29429, 76831, 11257, 57367, 36787, 80207, 61141, 68351, 35129, 47701, 77017, 64579, 24671, 37277, 27701, 56873
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
All the terms in the sequence are 5-digit primes because leading zeros are not permitted.
|
|
LINKS
|
|
|
EXAMPLE
|
a(1) = 47441, which is prime. It is the first occurrence of a 5-digit prime in the decimal expansion of sqrt(2) + sqrt(3) + sqrt(5), i.e., 5.3823323(47441)76203873830873445 ...
|
|
MATHEMATICA
|
With[{len = 5}, Select[FromDigits /@Partition[RealDigits[Sqrt[2] + Sqrt[3] + Sqrt[5], 10, 1000][[1]], len, 1], IntegerLength[#] == len && PrimeQ[#] &]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|