Silly sequences

[zak seidov]

Yet another one inspired by "silly" A124600/9,
pending (any?) reaction to be sent to OEIS:

%S S001
1,4,20,30,11,8,3,4,8,2,2,4,1,16,21,4,12,9,16,4,2,2,2,1,2,2,4,10,17,33,12,13,6,8,1,11,8,12,55,5,37,7,29,41,1,9,20,28,12,5,2,2,4,9,3,1,22,27,8,10,6,7,48,25,27,1,4,4,17,2,9,13,12,5,10,3,1,20,6,10,8,8,4,7,8,2,1,10,10,13,32,3,11,7,11,8,1,1,19,17
%N S001
Position of mod(n,10) in prime(n)^(1/3)
%C S001 Or, position of the first occurrence of the
last digit of n, (does it exist always?), in the
decimal expansion of the cube root of n-th prime. Cf.
A124600-A124609
%t S001
Table[Position[RealDigits[Prime[n]^(1/3),10,200][[1]],Mod[n,10]][[1,1]],{n,100}]
%A S001 Silly ZS

HNY!, Zak


--- zak seidov <zakseidov at yahoo.com> wrote:

> 
> Another silly sequence
> is get if we demand that 
> "nextprime" may be ALSO "previousprime":
> among first 1,000 "normal" primes 
> there are only 24 such NP-silly primes:
> 
>
5,13,17,103,197,227,787,823,911,919,1153,1409,1487,1723,2087,2647,2767,2999,3001,3389,6089,6781,6827,7877
> 
> e.g. 5+7+5=15 and 5+3+5=13,
> 13+17+13=43 and 13+11+13=41, etc.
> 
> (* You may of course take only "previousprime",
> such P-silly primes are much more numerous (189
> among
> first 1000:
> 5, 7, 11, 13, 17, 43, 47, 61, 97, 103, 107, etc
> *)
> 
> According to Neil,s "new" rule the first (JZ's)
> N-silly pimes sequence may be sent to OEIS, my new
> one(s) sequency is(are) pending reaction of SF's...
> 
> HNY!, Zak
> 
> --- Joshua Zucker <joshua.zucker at gmail.com> wrote:
> 
> > On 12/16/06, Jonathan Post <jvospost3 at gmail.com>
> > wrote:
> > > the fact that the number of syllables in a haiku
> > is prime.
> > 
> > OK, then, how about this (silly!) sequence:
> > "Haiku primes" are primes p such that p +
> > nextprime(p) + p is also prime.
> > For example, 5 is the canonical haiku prime
> because
> > 5, 7, and 5 are
> > all prime, and so is 5+7+5.
> > 
> > [Of course, there could be argument about where
> the
> > 7 comes from: is
> > it nextprime(p) or is it p+2 or is it some other
> > function?  If it's
> > p+2 then the sequence is already in OEIS as
> A023208]
> > 
> > Haiku primes up to 10000:
> > 2 3 5 13 17 19 29 59 79 103 109 113 149 197 223
> 227
> skip > 
> > Enjoy,
> > --Joshua Zucker


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