- I returned to this after completing some other tasks.

320572022166380880 +/- 30 +/- 9 +/- 5 +/- 3 gives 16 distinct

consecutive primes. They can also be written:

320572022166380880 +/- n, for n = 13, 19, 23, 29, 31, 37, 41, 47.

It is the shared second tightest admissible pattern for

16 distinct primes produced by the additive combinations of

5 numbers where the largest is always added.

The 37 tightest patterns were searched to some limit.

4 of them had a case with 16 primes but only one case had

consecutive primes.

The 5 numbers, the difference between the 1st and 16th prime,

and the number of other primes between them are:

{320572022166380880, 30, 9, 5, 3}, difference 94, 0 other.

{87291414128856315, 33, 18, 12, 5}, difference 136, 2 other.

{57312341532495501, 24, 21, 15, 10}, difference 140, 1 other.

{82911614607, 45, 15, 7, 3}, difference 140, 1 other.

The last case was a surprise at only 11 digits.

It is the only occurrence of that pattern below 10^18.

--

Jens Kruse Andersen - --- In primenumbers@yahoogroups.com, "Jens Kruse Andersen" <jens.k.a@...> wrote:
>

Incredible find! And of course the prime tuple or constellation is symmetrical to boot.

> I returned to this after completing some other tasks.

>

> 320572022166380880 +/- 30 +/- 9 +/- 5 +/- 3 gives 16 distinct

> consecutive primes. They can also be written:

> 320572022166380880 +/- n, for n = 13, 19, 23, 29, 31, 37, 41, 47.

>

> It is the shared second tightest admissible pattern for

> 16 distinct primes produced by the additive combinations of

> 5 numbers where the largest is always added.

> The 37 tightest patterns were searched to some limit.

Hey, some of us rely on surprises that 'low', hehe.

> 4 of them had a case with 16 primes but only one case had

> consecutive primes.

> The 5 numbers, the difference between the 1st and 16th prime,

> and the number of other primes between them are:

> {320572022166380880, 30, 9, 5, 3}, difference 94, 0 other.

> {87291414128856315, 33, 18, 12, 5}, difference 136, 2 other.

> {57312341532495501, 24, 21, 15, 10}, difference 140, 1 other.

> {82911614607, 45, 15, 7, 3}, difference 140, 1 other.

>

> The last case was a surprise at only 11 digits.

> It is the only occurrence of that pattern below 10^18.

Mark