A089220: Missed and more terms(?)

[zak seidov]

Dear Neil, Pierre, Tony, seqfans,

i added missed and more terms.

Terms missed in A089220: 4176587, 5669099, 5893141.

Someone may wish to (re-)check these,
thanks,
zak

%S A089220
642427,1058861,3431903,4176587,4560121,4721047,5072269,5145403,5669099,5893141,6248969,6285047,6503179,6682969,8545357,8776121,8778739,9490571,9836227,9843019,9843049,10023787,11697979,12057919,12340313,12687119,12794641,12845849,12989897,14377747,14511023,14848091,15204751,15309937,15890527,16396711,16574287
%D A089220 Corrected and extended by Zak Seidov
(zakseidov(AT)yahoo.com), Apr 12 2008



__________________________________________________
Do You Yahoo!?
Tired of spam?  Yahoo! Mail has the best spam protection around 
http://mail.yahoo.com 




zs> From seqfan-owner at ext.jussieu.fr  Sat Apr 12 14:33:17 2008
zs> Date: Sat, 12 Apr 2008 05:32:55 -0700 (PDT)
zs> From: zak seidov <zakseidov at yahoo.com>
zs> Subject: A089220:  Missed and more terms(?)
zs> To: njas at research.att.com, colettecami at aol.com, noe at sspectra.com,
zs>         seqfan at ext.jussieu.fr
zs> 
zs> Dear Neil, Pierre, Tony, seqfans,
zs> 
zs> i added missed and more terms.
zs> 
zs> Terms missed in A089220: 4176587, 5669099, 5893141.
zs> 
zs> Someone may wish to (re-)check these,
zs> thanks,
zs> zak
zs> 
zs> %S A089220
zs> 642427,1058861,3431903,4176587,4560121,4721047,5072269,5145403,5669099,5893141,6248969,6285047,6503179,6682969,8545357,8776121,8778739,9490571,9836227,9843019,9843049,10023787,11697979,12057919,12340313,12687119,12794641,12845849,12989897,14377747,14511023,14848091,15204751,15309937,15890527,16396711,16574287
zs> %D A089220 Corrected and extended by Zak Seidov
zs> (zakseidov(AT)yahoo.com), Apr 12 2008

Confirmed with a Maple program for A089220 (below). And one would like to
add in a comment

%C A089220 Subsequence of A052195.

%p A089220 p := 2 : q := 3 : r := 5 : s := 7 :
for i from 1 do




zs> From seqfan-owner at ext.jussieu.fr  Sat Apr 12 14:33:17 2008
zs> Date: Sat, 12 Apr 2008 05:32:55 -0700 (PDT)
zs> From: zak seidov <zakseidov at yahoo.com>
zs> Subject: A089220:  Missed and more terms(?)
zs> To: njas at research.att.com, colettecami at aol.com, noe at sspectra.com,
zs>         seqfan at ext.jussieu.fr
zs> 
zs> Dear Neil, Pierre, Tony, seqfans,
zs> 
zs> i added missed and more terms.
zs> 
zs> Terms missed in A089220: 4176587, 5669099, 5893141.
zs> 
zs> Someone may wish to (re-)check these,
zs> thanks,
zs> zak
zs> 
zs> %S A089220
zs> 642427,1058861,3431903,4176587,4560121,4721047,5072269,5145403,5669099,5893141,6248969,6285047,6503179,6682969,8545357,8776121,8778739,9490571,9836227,9843019,9843049,10023787,11697979,12057919,12340313,12687119,12794641,12845849,12989897,14377747,14511023,14848091,15204751,15309937,15890527,16396711,16574287
zs> %D A089220 Corrected and extended by Zak Seidov
zs> (zakseidov(AT)yahoo.com), Apr 12 2008

rjm> Confirmed with a Maple program for A089220 (below). And one would like to
rjm> add in a comment
rjm> 
rjm> %C A089220 Subsequence of A052195.
rjm> 
rjm> %p A089220 p := 2 : q := 3 : r := 5 : s := 7 :
rjm> for i from 1 do
rjm>         if q-p = 30 and r-q=30 and s-r=30 then printf("%d,\n",p) ; fi ;
rjm>         p := q ; q := r ; r := s ; s := nextprime(r) ;
rjm> od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 12 2008

Actually, A089220 ought be killed because (after correction) it duplicates A052243.
So we have

%C A052243 Subsequence of A052195.

%p A052243 p := 2 : q := 3 : r := 5 : s := 7 :
for i from 1 do




zs> From seqfan-owner at ext.jussieu.fr  Sat Apr 12 08:11:27 2008
zs> Date: Fri, 11 Apr 2008 23:11:06 -0700 (PDT)
zs> From: zak seidov <zakseidov at yahoo.com>
zs> Subject: A137365: correct terms?
zs> To: seqfan at ext.jussieu.fr, 4vladimir at gmail.com, njas at research.att.com
zs> 
zs> Dear seqfans, Vladimir, Neil,
zs> 
zs> Aren't these terms ("more") correct,
zs> anyone please check,
zs> (i suspect some missing terms)
zs> thanks, zak:
zs> 
zs> 1483,5381,6271,7229,9181,11897,13103,13841,14489,17107,20357,25747,26711,27917,30161,30259,31247,32579,36161,36583,36677,36899,36901
zs> ,42083,48817,54181,55511,55691,56377,56897,57637,59093,64151,66347,67733,69073,69389,74177,75167,76031,76123,77239,77977,80471,80963
zs> ,81181,81901,85751,86491,87697
zs> 
zs> %I A137365
zs> %S A137365
zs> 1483,5381,6271,7229,9181,11897,13841,14489,17107,25747,26711
zs> %N A137365 Prime numbers n such that n = p1^3 + p2^3 +
zs> p3^3, a sum of cubes of 3 distinct prime 
zs>                numbers.
zs> %e A137365 1483=3^3+5^3+11^3;
zs> %e A137365 6271=3^3+11^3+17^3.
zs> %A A137365 Vladimir Orlovsky (4vladimir(AT)gmail.com),
zs> Apr 09 2008

Having run the code below up to 87697, I confirm Zak's improved sequence
of A137365:

1483,5381,6271,7229,9181,11897,13103,13841,14489,17107,20357,25747,26711,27917,30161,30259,31247,32579,36161,36583,36677,36899,36901
,42083,48817,54181,55511,55691,56377,56897,57637,59093,64151,66347,67733,69073,69389,74177,75167,76031,76123,77239,77977,80471,80963
,81181,81901,85751,86491,87697

--Richard

isA030078 := proc(n)
end:
isA137365 := proc(n)
end:
for i from 1 do
od: