In response to a problem posed by Mark Underwood on the "Prime Numbers" Yahoo!Group.
139 and 149 are the smallest consecutive primes with the same terminal digit, so a(2)=139.
Here's a table of the smallest starting points for sequences of increasing length runs of primes with the same terminal digits:
1 | 2 |
2 | 139 |
3 | 1627 |
4 | 18839 |
5 | 123229 |
6 | 776257 |
7 | 3873011 |
8 | 23884639 |
9 | 36539311 |
10 | 196943081 |
11 | 452942827 |
12 | 73712513057 |
13 | 154351758091 / 177746482483 |
14 | 154351758091 |
15 | 4010803176619 |
16 | 6987191424553 (Resta, Nov 2004) |
17 | ??? |
I'd expect these to grow slightly faster than exponentially, so here's a log-plot of those values (doesn't include the 16):
Last modified 2006/05/23, thanks to Jens' eagle eyes.
Another hastily constructed page by Phil Carmody
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