A225583 -id:A225583 - cp's OEIS frontend

A225582 Primes in the chain of repeated application of x->2*x+3, starting at x=11.

11, 53, 109, 1789, 3581, 28669, 229373, 3670013, 58720253, 117440509, 60129542141, 264452523040700131966973, 34662321099990647697175478269, 2381976568446569244243622252022377480189, 4878288012178573812210938372141829079433213

Offset: 1

Vincenzo Librandi, May 14 2013

Primes in A156127.

Vincenzo Librandi, Table of n, a(n) for n = 1..26

Primes of the form k*2^m-3: A050415 (k=1), A173769 (k=5), this sequence (k=7), A225583 (k=11), A225584 (k=13); A172156 (k=100), A163589 (k=715).

Numbers of the form 7*2^m-3: A156127.

x:=11; 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 7*2^n-3];

Select[NestList[2 # + 3 &, 11, 30], PrimeQ] (* or *) Select[Table[7 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

A225582 Primes in the chain of repeated application of x->2*x+3, starting at x=11.

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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