SEQ FROM Donald S. McDonald/prime date quadruples.

[Don McDonald]

In message <200303030939.EAA74767 at akpublic.research.att.com> you write:

> This copy is just for your records.  No reply is expected.
>  Subject: NEW SEQUENCE FROM Donald S. McDonald

Dear  Neil JA Sloane, eis,
owner
editor,

Seqfans,  (reply to sender - not All.)
My comment and Example needed better explanation please.  Added  Below.

thank you.
Regards
Don McDonald.   05.03.03  01:25 nzdt*.
>
> 
> %I A000001
> %S A000001  380129 980729 1010129 1911029  2920829 6920129 6951029  
> 9620129 11110829 20800529 
>  
> %N A000001 starts of a date quartet.
ISO dates yyyy:mm:dd - 29th, 31st of  
> a month, JAN, MAR, MAY, JUL, AUG, OCT, and 01st, 03rd of 
> month immediately following are 4 primes in the space of 6 days. 
> %C A000001  dubious extension to Creation/Christmas
 days  0002,  3, 5, 7.

Since month/day, mmdd = 0901 follows mmdd= 0831,
for example, it is possible
for end-of-month consecutive days to be both odd
(August 31st, September 1st)
(or prime), and it is apparent
from this sequence that prime quadruple dates
(ending 29,31,01,03) may
occur in LESS time (6 days) than
the prime triple integers (x, x+2, x+6), etc. (7 integers.)

> No solutions exist in December-January because exactly 1 number
> from x+1231, x+10101, x+10103 is a multiple of 3. 
>
Pari program. / sent 1 hour later.  (Only tested up to yy=2100.)
>  
> %D A000001   
>
> %F A000001   
>  
>  
> %e A000001 a(1) = 380129 means this date
(29th January year 0038), and 380131 (Jan. 31),
380201 (Feb. 1), 380203 (Feb. 3)  
> are primes. 
>  
> %p A000001   
>
> %Y A000001   
> %O A000001 0
> %K A000001 ,nonn,
query keyword date calendar base word fini

> %A A000001 Donald S. McDonald (don.mcdonald at paradise.net.nz), Mar 03 2003
> RH 
> RA 203.98.48.151
> RU 
> RI 
>