## Sets of Consecutive Primes and the Missing Digit

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• Can anyone find a set of 37 consecutive odd positive primes, where one of these integers 1, 3, 7 and 9 is NOT present among the rightmost digits of the primes
Message 1 of 3 , Mar 10, 2010
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Can anyone find a set of 37 consecutive odd positive primes, where one of these integers 1, 3, 7 and 9 is NOT present among the rightmost digits of the primes in the set? P091207-72

For every N from 4 to 36, I managed to find such a set of N primes. For example, in the set of N=36 primes starting with 5376557 and ending with 5377039, the rightmost digit 1 is not present. So far no luck with N=37.

I wonder if 36 is the limit, implying that in any set of 37 consecutive primes all 4 integers 1, 3, 7 and 9 are always present among the rightmost digits of the primes in the set ? Thanks folks.

Bill Sindelar
____________________________________________________________
Criminal Lawyer

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• ... Record runs above 36: 40 with no 9: 62024761 to 62025377 43 with no 3: 133125211 to 133126009 48 with no 1: 149054309 to 149055259 51 with no 1: 1206644317
Message 2 of 3 , Mar 10, 2010
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Bill Sindelar wrote:
> Can anyone find a set of 37 consecutive odd positive primes,
> where one of these integers 1, 3, 7 and 9 is NOT present
> among the rightmost digits of the primes in the set?

Record runs above 36:
40 with no 9: 62024761 to 62025377
43 with no 3: 133125211 to 133126009
48 with no 1: 149054309 to 149055259
51 with no 1: 1206644317 to 1206645493
53 with no 9: 1770847261 to 1770848447
54 with no 3: 2343368669 to 2343370021
57 with no 3: 2462372461 to 2462373707
61 with no 9: 76047287171 to 76047288677
62 with no 7: 86722358543 to 86722360553

It seems highly likely there can be arbitrarily many.

--
Jens Kruse Andersen
• ... 66 with no 1: 167257359743 to 167257361189 77 with no 9: 236455710527 to 236455712957 -- Jens Kruse Andersen
Message 3 of 3 , Mar 10, 2010
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> 62 with no 7: 86722358543 to 86722360553

66 with no 1: 167257359743 to 167257361189
77 with no 9: 236455710527 to 236455712957

--
Jens Kruse Andersen
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