|
Search: id:A096469
|
|
|
| A096469 |
|
a(n)is the smallest number m such that the concatenation of n+1 numbers m^0, m^1,..., m^(n-1), m^n is a prime. |
|
+0
1
|
|
| 1, 3, 33, 23, 237, 93, 37, 291, 421, 7, 471, 213, 1941, 29, 43, 17, 327, 1, 523, 21, 3403, 1, 13281, 3851, 3583, 3081, 1681, 157, 34989, 5411, 2431, 1229, 4767, 1021, 8397, 603, 429, 561, 6571, 47, 8601, 347, 15027, 687, 1611, 273, 29979, 201, 5719
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Conjecture: This sequence is infinite.
a(n)=1 iff n+1 is in the sequence A004023, so a(1)=a(18)=a(22)=a(316)=a(1030)=a(49080)=a(86452)=1 and there are no other n less than 86453 such that a(n)=1. Every term of this sequence is odd and for each n, 5 doesn't divide a(n). a(50) is greater than 11111.
|
|
EXAMPLE
|
a(3)=33 because 33^0=1; 33^1=33; 33^2=1089; 33^3=35937; 133108935937 is a prime and 33 is the smallest such number.
|
|
CROSSREFS
|
Cf. A096470, A096471, A004023.
Sequence in context: A129431 A054780 A134474 this_sequence A106423 A077328 A106413
Adjacent sequences: A096466 A096467 A096468 this_sequence A096470 A096471 A096472
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Farideh Firoozbakht (mymontain(AT)yahoo.com), Jun 23 2004
|
|
|
Search completed in 0.002 seconds
|
