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# User talk:M. F. Hasler/drafts/A238715

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## Contents

## Least prime of a run of 3 or more consecutive decadal prime triplets

11, 821, 1031, 1423, 5413, 13691, 140831, 220873, 266023, 283571, 464741, 1596311, 1660661, 1966813, 2655403, 3303341, 5191331, 5485393, 8125511, ...

#### (PARI)

{d=10; p=primepi(d); i=0; while( po=p, p=primepi( d+=10 ); p>2+po & i++ & (p=primepi(d+=20)) & next; i | next; i>=3 & print1(nextprime(d-10-30*i)", ");i=0;)} /* this could be optimized quite a bit... */

#### Comments

- The prime a(1)=11 starts a run of 5 consecutive triplets (cf. example), "primehunter" J.K.Andersen found the start of the second run of length 5, starting at p = 9100524636851.

#### Cross-references

- A008470: Decades with prime triplets My notes: ../A008470. Originally ../A171251
- ../A171252 Least member of decadal prime triplets.
- ../A171253 Largest member of decadal prime triplet
- A008471: Exactly 3 out of 10m+1, 10m+3, 10m+7, 10m+9 areq primes. My notes: ../A008471 - originally planned to be ../A171254 : Decades containing exactly 3 primes
- ../A171255 Least prime in a decade containing exactly 3 primes
- A238716: Run lengths of decadal prime triplets. My notes: ../A238716; initially planned to be ../A171256
- A238715: Least prime of a run of 3 or more consecutive decadal prime triplets. Notes: ../A238715; initially planned to be A171257 : ../A171257

#### Author

— M. F. Hasler 21:17, 3 January 2010 (UTC)