Fwd: help needed in editing a bunch of submissions

Maximilian Hasler maximilian.hasler at gmail.com
Mon Jun 16 16:32:56 CEST 2008


The second one (related to the first one), with last 3 terms corrected
from "0, 1, 3" to 1,3,1.

%I A000001
%S A000001 1, 3, 3, 3, 1, 2, 3, 3, 1, 1, 2, 3, 2, 3, 1, 0, 3, 3, 3, 0,
%T A000001 0, 3, 1, 2, 1, 2, 2, 3, 1, 1, 2, 1, 3, 2, 0, 2, 0, 3, 3, 1,
%U A000001 2, 1, 1, 1, 1, 2, 3, 2, 1, 0, 0, 3, 3, 0, 0, 2, 2, 1, 3, 1
%N A000001 isprime(6n-1) + 2 isprime(6n-5), where isprime = A010051.
%O A000001 (PARI) a(n)=isprime(6*n-5)<<1+isprime(6*n-1) \\ -
M.F.Hasler, Jun 16 2008
%C A000001 The idea is to consider 2-bit words, where the least resp.
most significant bit correspond to primality of the respective member
in the couple (6n-1,6n-5). (It might have been more natural to inverse
the correspondences, i.e. to associate the LSB to the smaller number
of the pair.) - M.F.Hasler, Jun 16 2008
%C A000001 Original definition of sequence:
 A002476: -, 7, 13, 19, -, 31, 37, 43, -, -, 61, 67, 73, 79, -,...
 A007528: 5,11,17,23,29. -,41,47, 53, 59, -, 71, -, 83, 89,...
 => A002476: 0,  1,  1,  1,  0,  1,  1,  1,  0,  0,  1,  1,  1,  1,...
 => A007528: 1,  1,  1,  1,  1,  0,  1,  1,  1,  1,  0,  1,  0,  1,...
 => A (new) :  1,  3,  3,  3,  1,  2,  3,  3,  1,  1,  2,  3,  2,  3,...
%Y A000001 Cf. A002476, A007528
%K A000001 nonn
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 10 2008




> From seqfan-owner at ext.jussieu.fr  Sun Jun 15 18:29:14 2008
> Date: Sun, 15 Jun 2008 12:27:27 -0400
> From: "N. J. A. Sloane" <njas at research.att.com>
> To: seqfan at ext.jussieu.fr
> Subject: help needed in editing a bunch of submissions
> Cc: njas at research.att.com

The last 4 read as follows:

%I A000001
%S A000001 57,135,161,187,213,265,291,343,369,395,447,473,525,551,603,629,655,681,
%T A000001 707,759,785,837,889,915,993,1045,1071,1149,1175,1227,1253,1305,1331,1357,
%U A000001 1383,1435,1461,1513,1539,1565,1591,1617,1643,1695,1773,1799,1825,1851,1903
%N A000001 Composites of the form 26n+5.
%H A000001 <a href="Tables of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf.  A102732
%K A000001 nonn,less
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008

Exchanged 687 for 667 in this one:

%I A000001
%S A000001 69,95,121,147,225,303,329,355,381,407,459,485,511,537,589,615,667,693,745,
%T A000001 771,849,875,901,927,979,1005,1057,1083,1135,1161,1239,1265,1317,1343,1369,
%U A000001 1395,1421,1473,1525,1551,1577,1603,1629,1655,1681,1707,1785,1837,1863,1915
%N A000001 Composites of the form 26n+17.
%H A000001 <a href="Tables of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A093191
%K A000001 nonn,less
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008


%I A000001
%S A000001 45,123,175,201,253,279,305,357,435,513,539,565,591,669,695,721,747,799,825,851,
%T A000001 903,955,981,1007,1059,1085,1111,1137,1189,1215,1241,1267,1293,1345,1371,1397,1449,
%U A000001 1475,1501,1527,1605,1631,1683,1735,1761,1813,1839,1865,1891,1917,1943,1969,1995,2021
%N A000001 Composites of the form 26n+19.
%H A000001 <a href="Tables of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A093350
%K A000001 nonn,less
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008


%I A000001
%S A000001 21,99,125,177,203,255,333,385,411,437,489,515,567,645,671,697,723,749,775,
%T A000001 801,879,905,931,957,1035,1113,1139,1165,1191,1243,1269,1295,1347,1425,1477,
%U A000001 1503,1529,1555,1581,1633,1659,1685,1711,1737,1763,1815,1841,1893,1919,1945
%N A000001 Composites of the form 26n+21.
%H A000001 <a href="Tables of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A092178
%K A000001 nonn,less
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008






> From seqfan-owner at ext.jussieu.fr  Sun Jun 15 18:29:14 2008
> Date: Sun, 15 Jun 2008 12:27:27 -0400
> From: "N. J. A. Sloane" <njas at research.att.com>
> To: seqfan at ext.jussieu.fr
> Subject: help needed in editing a bunch of submissions
> Cc: njas at research.att.com

Another group of 7 unwound and formatted from the end:

%I A000001
%S A000001 7,59,137,163,241,293,397,449,631,683,709,761,787,839,1021,1151,1229,1307,1489,
%T A000001 1567,1619,1697,1723,1801,1879,1931,2087,2113,2243,2269,2347,2399,2477,2503,2633,
%U A000001 2659,2711,2789,2971,3023,3049,3257,3361,3413,3491,3517,3673,3803,3881,3907,4219
%N A000001 Primes of the form 26n+7.
%H A000001 <a href="Table of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A059245, A100202, A102732, A093191, A093350, A092178
%K A000001 nonn
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008


%I A000001
%S A000001 61,113,139,191,269,347,373,503,607,659,919,971,997,1049,1153,1231,1283,
%T A000001 1361,1439,1543,1621,1699,1777,1907,1933,2011,2063,2089,2141,2297,2531,2557,
%U A000001 2609,2687,2713,2791,2843,2999,3181,3259,3389,3467,3571,3623,3701,3727,3779
%N A000001 Primes of the form 26n+9.
%H A000001 <a href="Table of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A059245, A100202, A102732, A093191, A093350, A092178
%K A000001 nonn,less
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008


%I A000001
%S A000001 11,37,89,167,193,271,349,401,479,557,661,739,947,1051,1103,1129,1181,1259,
%T A000001 1493,1571,1597,1753,1831,1987,2039,2143,2221,2273,2351,2377,2663,2689,2741,2767,
%U A000001 2819,2897,3001,3079,3209,3313,3391,3469,3547,3677,3833,3911,3989,4093,4327,4457
%N A000001 Primes of the form 26n+11.
%H A000001 <a href="Table of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A059245, A100202, A102732, A093191, A093350, A092178
%K A000001 nonn,less
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008

Added a 743 in this one:

%I A000001
%S A000001 41,67,197,223,353,379,431,457,509,587,613,691,743,769,821,977,1237,1289,1367,
%T A000001 1471,1523,1549,1601,1627,1783,1861,1913,2017,2069,2251,2381,2459,2693,2719,2797,
%U A000001 2927,2953,3083,3109,3187,3343,3499,3733,3863,3889,3967,4019,4201,4253,4357,4409
%N A000001 Primes of the form 26n+15.
%H A000001 <a href="Table of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A059245, A100202, A102732, A093191, A093350, A092178
%K A000001 nonn
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008

%I A000001
%S A000001 23,101,127,179,257,283,439,491,569,647,673,751,829,881,907,1063,1193,1297,
%T A000001 1427,1453,1531,1583,1609,1973,1999,2129,2207,2311,2389,2441,2467,2753,2857,
%U A000001 2909,3169,3221,3299,3533,3559,3637,3767,3793,3923,4001,4027,4079,4157,4261,4339
%N A000001 Primes of the form 26n+23.
%H A000001 <a href="Table of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A059245, A100202, A102732, A093191, A093350, A092178
%K A000001 nonn
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008

%I A000001
%S A000001 1,27,105,183,209,235,261,287,339,365,391,417,469,495,573,625,651,703,729,
%T A000001 755,781,807,833,885,963,989,1015,1041,1067,1119,1145,1197,1275,1353,1379,
%U A000001 1405,1431,1457,1509,1535,1561,1587,1639,1665,1691,1717,1743,1769,1795,1821
%N A000001 Non-primes of the form 26n+1.
%H A000001 <a href="Table of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A059245, A100202, A102732, A093191, A093350, A092178
%K A000001 nonn,less
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008


%I A000001
%S A000001 55,81,133,159,185,237,289,315,341,393,445,471,497,549,575,627,679,705,731,
%T A000001 783,835,861,913,939,965,1017,1043,1095,1121,1147,1173,1199,1225,1251,1329,
%U A000001 1355,1407,1485,1537,1563,1589,1615,1641,1719,1745,1771,1797,1849,1875,1927
%N A000001 Composites of the form 26n+3.
%H A000001 <a href="Table of primes up to 9999">http://ssd.sscc.ru/qt/primes.html</a>
%Y A000001 Cf. A100202
%K A000001 nonn,less
%O A000001 1,1
%A A000001 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jun 14 2008






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