A049535. Feb. 16-20, 5 consecutive dates containing a square.

[Don McDonald]

seqfans, John H,  Greetings

Feb. 16th-20th ,2003, are 5 consecutive dates containing a square.
yyyy=2003  year
mm=02      month
dd=20.     date
20.02.03  23:17

e.g. sequence A049535  extract below???
(3 of them contain a cube.)

2003,02,15 = 5  307  13049
20030216 = 2  2  2  17  31  4751   ** 2 cubed
20030217 = 3  23  43  43  157      ** 43 squared
20030218 = 2  13  13  19  3119      ** 13 squared  (helen t green?)
20030219 = 11  11  11  101  149       ** 11 cubed
20030220 = 2  2  3  3  3  5  7  7  757   ** 42 squared
2003,02,21 = 619 ** 32359


(search sci.math 619 prime mercurial factorisation. mcdonald.)
= like  3 5 7 11 13 - 2 17 19 23 ??

:In article <Pine.GSO.3.96.980813170545.6488B-100000 at atlantis>,
:  "don <" <dsmcdona at actrix.gen.nz> wrote:
:
:> > A single partition of 619 proves it is prime below.
:> >
:> > Integer   619  = 15,249  -  14,630
:> >                = 3.13.17.23 - 2.5.7.11.19.
:> >
:> > Every prime factor beginning at 2 up to 23 appears on
:> > one side or the other of this special [partition] of 619,
:> > but never on both sides at once.
:> >
:> > Therefore, integer 619 is prime.
:> >          q.e.d.

don.mcdonald
my file > sa.MZD03.MZD03-Jan.Feb2003

Squarefree.squarerun :
    848 = 2^2 * N...            Square run 5
    1684 = 2^2 * N...           Square run 5
    2892 = 2^2 * N...           Square run 5
    3628 = 2^2 * N...           Square run 5
    5050 = 2  5^2*N..           Square run 5

  840 = 2^2 * N...            Square run 1
  841 = perfect square***29^2*N..
  844 = 2^2 * N...            Square run 1
  845 = 5  13^2*N..           Square run 2
  846 = 2  3^2*N..            Square run 3
  847 = 7  11^2*N..           Square run 4
  848 = 2^2 * N...            Square run 5

> Neil, Labos,
> Greeting.
> 
> Integer Sequences !
> Here is the A049535 entry in the table (this will take a moment): 
>  
> %I A049535 
> %S A049535 22020,24647,30923,47672,55447,57120,73447,74848,96675,105772,121667, 
> %T A049535 121847,152339,171348,179972,182347,185247,190447,200848,204323,215303, 
> %U A049535 217071,229172,233223,234375,240424,268223,274547,310120,327424,338920 
> %N A049535 Starts for strings of exactly (6 consecutive squareful numbers.)
> 
> comment. I believe this is an error / Definition should be
> Starts for strings of exactly... (6 consecutive /non-squarefree/ numbers.)
>

very first is ** 22020 all the 2s. (22 Feb.)
Don's amendment (non-squarefree) was probably accepted.

> regards,
> don.mcdonald at paradise.net.nz
> 06.11.02