## Re: [PrimeNumbers] A Prime Number Case to Consider

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• ... Consider these 8 consecutive primes: 18948901076698271690467136006698708653641386544429 1475408862860716126025520041510000 + n, for n = 0121, 0123, 0211,
Message 1 of 2 , Jan 8, 2013
Bill Sindelar wrote:
> Consider these 4 prime numbers namely, A= 1049681, B= 1049683,
> C= 1049861, D=1049863. Some interesting facts are: One, A and B
> are twins. C and D are twins and the pair (A, B) and the pair
> (C, D) are consecutive twin pairs. Two, the digits that define A
> are the same as the digits that define C and they sum to the twin
> 29. The digits that define B are the same as the digits that
> define D and they sum to the twin 31.

Consider these 8 consecutive primes:
18948901076698271690467136006698708653641386544429\
1475408862860716126025520041510000 + n,
for n = 0121, 0123, 0211, 0213, 1021, 1023, 1201, 1203

They form four consecutive twin prime pairs where the lower twin
members (n = 0121, 0211, 1021, 1201) contain the same digits,
and so do the upper members (n = 0123, 0213, 1023, 1203).

The smallest possible width in such a constellation is 1082 like
in the above 84-digit example. The requirement for 1075 composite
numbers would make it harder to find a small example.

--
Jens Kruse Andersen
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