login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A090414 Triangular array read by rows, 1<=k<=n: T(n,k) = smallest prime that in binary representation is not contained in n^k. 2
2, 3, 3, 2, 3, 7, 3, 3, 3, 3, 3, 5, 11, 5, 7, 5, 3, 7, 3, 5, 7, 2, 5, 13, 7, 11, 13, 17, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 11, 19, 19, 17, 13, 3, 5, 11, 5, 7, 11, 7, 17, 17, 13, 7, 5, 7, 5, 23, 7, 13, 7, 7, 17, 17, 5, 3, 7, 3, 5, 7, 7, 7, 5, 11, 17, 19 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Jinyuan Wang, Rows n = 1..100 of triangle, flattened

EXAMPLE

Triangle begins:

2;

3, 3;

2, 3,  7;

3, 3,  3, 3;

3, 5, 11, 5,  7;

5, 3,  7, 3,  5,  7;

2, 5, 13, 7, 11, 13, 17;

..

PROG

(PARI) T(n, k) = {my(d=binary(n^k), v); forprime(p=2, oo, v=binary(p); if(#v>#d || sum(i=1, #d-#v+1, v==vector(#v, j, d[i+j-1]))==0, return(p))); } \\ Jinyuan Wang, Mar 01 2020

CROSSREFS

Cf. A004676, A007088, A075363.

Sequence in context: A141744 A089783 A302939 * A068227 A235343 A236456

Adjacent sequences:  A090411 A090412 A090413 * A090415 A090416 A090417

KEYWORD

nonn,base,tabl

AUTHOR

Reinhard Zumkeller, Nov 30 2003

EXTENSIONS

More terms from Jinyuan Wang, Mar 01 2020

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 11 12:38 EDT 2021. Contains 342886 sequences. (Running on oeis4.)