|
|
A261200
|
|
Minimal prime concatenation sequence with base 2 and seed 1.
|
|
4
|
|
|
1, 10, 101, 1011, 10111, 101111, 10111111, 101111111, 101111111011, 10111111101101, 101111111011010011, 10111111101101001101111, 10111111101101001101111101, 1011111110110100110111110101, 101111111011010011011111010111, 1011111110110100110111110101111
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
EXAMPLE
|
In base 2, the least prime starting with seed 1 is 10; the least prime starting with 10 is 101; the least prime starting with 101 is 1011. Triangular format:
1
10
101
1011
10111
101111
10111111
101111111
101111111011
|
|
MATHEMATICA
|
b = 2; s = {{1}};
Do[NestWhile[# + 1 &, 0, ! (PrimeQ[FromDigits[tmp = Join[Last[s], (nn = #; IntegerDigits[nn - Sum[b^n, {n, l = NestWhile[# + 1 &, 1, ! (nn - (Sum[b^n, {n, #}]) < 0) &] - 1}], b, l + 1])], b]]) &];
AppendTo[s, tmp], {30}]; Map[FromDigits, s]
Map[FromDigits[#, b] &, s] (* A261201 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|