A225582 -id:A225582 - cp's OEIS frontend

A225583 Primes in the chain of repeated application of x->2*x+3, starting at x=19.

19, 41, 173, 349, 701, 11261, 45053, 180221, 184549373, 738197501, 5905580029, 188978561021, 6192449487634429, 49539595901075453, 99079191802150909, 25364273101350633469, 811656739243220271101, 3486039150627630854115933814781

Offset: 1

Vincenzo Librandi, May 14 2013

nonn

Primes in A156198.

Vincenzo Librandi, Table of n, a(n) for n = 1..37

Primes of the form k*2^m-3: A050415 (k=1), A173769 (k=5), A225582 (k=7), this sequence (k=11), A225584 (k=13); A172156 (k=100), A163589 (k=715).

Numbers of the form 11*2^m-3: A156198.

x:=19; a:=[n eq 1 select x else 2*Self(n-1)+3: n in [1..200]]; [a[i]: i in [1..#a] | IsPrime(a[i])];

[a: n in [0..150] | IsPrime(a) where a is 11*2^n-3];

Select[NestList[2 # + 3 &, 19, 30], PrimeQ] (* or *) Select[Table[11 2^n - 3, {n, 0, 150}], PrimeQ]

A225584 Primes in the chain of repeated application of x->2*x+3, starting at x=23.

Original entry on oeis.org

23, 101, 829, 6653, 13309, 6815741, 436207613, 13958643709, 27917287421, 468374361246531581, 3746994889972252669, 959230691832896684029, 16093220510709943573688614909

Offset: 1

Vincenzo Librandi, May 14 2013

Primes in A156202.

Vincenzo Librandi, Table of n, a(n) for n = 1..31

Primes of the form k*2^m-3: A050415 (k=1), A173769 (k=5), A225582 (k=7), A225583 (k=11), this sequence (k=13); A172156 (k=100), A163589 (k=715).

Numbers of the form 13*2^m-3: A156202.

x:=23; a:=[n eq 1 select x else 2*Self(n-1)+3: n in [1..200]]; [a[i]: i in [1..#a] | IsPrime(a[i])];

[a: n in [0..150] | IsPrime(a) where a is 13*2^n-3];

Select[NestList[2 # + 3 &, 23, 30], PrimeQ] (* or *) Select[Table[13 2^(n+1) - 3, {n, 0, 150}], PrimeQ]

cp's OEIS Frontend

A225583 Primes in the chain of repeated application of x->2*x+3, starting at x=19.

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A225584 Primes in the chain of repeated application of x->2*x+3, starting at x=23.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Magma

Mathematica