Using Subject lines properly when sending me email
N. J. A. Sloane
njas at research.att.com
Mon Apr 28 18:13:07 CEST 2008
Free article connected with this topic is:
http://algo.inria.fr/csolve/clss.pdf
Artur
Artur pisze:
> Dear Richard,
> You was do lot of work!
> Generally non-negative discriminnats of ax^2+bxy+cy^2 for a,b,c>=0 can
> be congruent to 0 or 1 mod 4 **A042948*
> <http://www.research.att.com/%7Enjas/sequences/A042948>*
> non-positive discriminnats of ax^2+bxy+cy^2 for a,b,c>=0 can be
> congruent to 0 or 3 mod 4 A014601
>
> Best wishes
> Artur
>
>
> Richard Mathar pisze:
>> We could add keywords for almost-prime gaps to the OEIS index, plus add
>> Tony's A-lists of primes sorted accord. to the discriminants of their
>> quadratic forms (ie, taken from A107132, A106856). The two blocks read:
>>
>> almost primes, gaps, by increasing Omega: A065516, A114403, A114404, A114405, A114406, A114407, A114408
>>
>> primes, quadratic form, discriminant 1020: A139512
>> primes, quadratic form, discriminant 957: A139511
>> primes, quadratic form, discriminant 896: A139510
>> primes, quadratic form, discriminant 837: A139509
>> primes, quadratic form, discriminant 780: A139508
>> primes, quadratic form, discriminant 725: A139507
>> primes, quadratic form, discriminant 672: A139506
>> primes, quadratic form, discriminant 621: A139505
>> primes, quadratic form, discriminant 572: A139504
>> primes, quadratic form, discriminant 525: A139503
>> primes, quadratic form, discriminant 480: A139502
>> primes, quadratic form, discriminant 437: A139501
>> primes, quadratic form, discriminant 396: A139500
>> primes, quadratic form, discriminant 357: A139499
>> primes, quadratic form, discriminant 285: A139498
>> primes, quadratic form, discriminant 221: A139497
>> primes, quadratic form, discriminant 165: A139496
>> primes, quadratic form, discriminant 140: A139495
>> primes, quadratic form, discriminant 117: A139494
>> primes, quadratic form, discriminant 77: A139493
>> primes, quadratic form, discriminant 21: A139492
>> primes, quadratic form, discriminant -3: A007645
>> primes, quadratic form, discriminant -4: A002313
>> primes, quadratic form, discriminant -7: A045373, A106856
>> primes, quadratic form, discriminant -8: A033203
>> primes, quadratic form, discriminant -11: A056874, A106857
>> primes, quadratic form, discriminant -12: A002476
>> primes, quadratic form, discriminant -15: A033212, A106858, A106859, A106860, A106861
>> primes, quadratic form, discriminant -16: A002144, A002313
>> primes, quadratic form, discriminant -19: A106862, A106863
>> primes, quadratic form, discriminant -20: A033205, A106864, A106865
>> primes, quadratic form, discriminant -23: A106866, A106867, A106868, A106869
>> primes, quadratic form, discriminant -24: A033199, A084865
>> primes, quadratic form, discriminant -27: A002476, A106870
>> primes, quadratic form, discriminant -28: A033207
>> primes, quadratic form, discriminant -31: A033221, A106871, A106872, A106873, A106874
>> primes, quadratic form, discriminant -32: A007519, A007520, A106875, A106876
>> primes, quadratic form, discriminant -35: A106877, A106878, A106879, A106880, A106881
>> primes, quadratic form, discriminant -36: A040117, A068228, A106882
>> primes, quadratic form, discriminant -39: A033227, A106883, A106884, A106885, A106886, A106887, A106888
>> primes, quadratic form, discriminant -40: A033201, A106889
>> primes, quadratic form, discriminant -43: A106890, A106891
>> primes, quadratic form, discriminant -44: A033209, A106282, A106892, A106893
>> primes, quadratic form, discriminant -47: A033232, A106894, A106895, A106896, A106897, A106898, A106899, A106900
>> primes, quadratic form, discriminant -48: A068229
>> primes, quadratic form, discriminant -51: A106901, A106902, A106903, A106904
>> primes, quadratic form, discriminant -52: A033210, A106905, A106906
>> primes, quadratic form, discriminant -55: A033235, A106907, A106908, A106909, A106910, A106911, A106912, A106913
>> primes, quadratic form, discriminant -56: A033211, A106914, A106915, A106916, A106917
>> primes, quadratic form, discriminant -59: A106918, A106919, A106920, A106921, A106922
>> primes, quadratic form, discriminant -63: A106923, A106924, A106925, A106926, A106927, A106928, A106929, A106930
>> primes, quadratic form, discriminant -64: A007521, A106931
>> primes, quadratic form, discriminant -67: A106932, A106933
>> primes, quadratic form, discriminant -68: A033213, A106934, A106935, A106936, A106937, A106938
>> primes, quadratic form, discriminant -71: A033246, A106939, A106940, A106941, A106942, A106943, A106944, A106945, A106946, A106947, A106948
>> primes, quadratic form, discriminant -72: A106949, A106950
>> primes, quadratic form, discriminant -75: A033212, A106951, A106952
>> primes, quadratic form, discriminant -76: A033214, A106953, A106954, A106955
>> primes, quadratic form, discriminant -79: A033251, A106956, A106957, A106958, A106959, A106960, A106961, A106962
>> primes, quadratic form, discriminant -80: A047650, A106963, A106964, A106965
>> primes, quadratic form, discriminant -83: A106966, A106967, A106968, A106969, A106970
>> primes, quadratic form, discriminant -84: A033215, A102271, A102273, A106971, A106972, A106973, A106974
>> primes, quadratic form, discriminant -87: A033256, A106975, A106976, A106977, A106978, A106979, A106980, A106981, A106982, A106983
>> primes, quadratic form, discriminant -88: A033216, A106984
>> primes, quadratic form, discriminant -91: A106985, A106986, A106987, A106988, A106989
>> primes, quadratic form, discriminant -92: A033217
>> primes, quadratic form, discriminant -95: A033206, A106990, A106991, A106992, A106993, A106994, A106995, A106996, A106997, A106998, A106999, A107000, A107001
>> primes, quadratic form, discriminant -96: A107002, A107003, A107004, A107005, A107006, A107007, A107008
>> primes, quadratic form, discriminant -99: A107009, A107010, A107011, A107012, A107013
>> primes, quadratic form, discriminant -104: A107132, A033218
>> primes, quadratic form, discriminant -108: A014752
>> primes, quadratic form, discriminant -112: A107133, A107134
>> primes, quadratic form, discriminant -116: A033219
>> primes, quadratic form, discriminant -120: A107135, A107136, A107137, A033220
>> primes, quadratic form, discriminant -124: A033221
>> primes, quadratic form, discriminant -128: A105389
>> primes, quadratic form, discriminant -132: A107138, A033222
>> primes, quadratic form, discriminant -136: A107139, A033223
>> primes, quadratic form, discriminant -140: A107140, A033224
>> primes, quadratic form, discriminant -144: A107141, A107142
>> primes, quadratic form, discriminant -148: A033225
>> primes, quadratic form, discriminant -152: A107143, A033226
>> primes, quadratic form, discriminant -156: A033227
>> primes, quadratic form, discriminant -160: A107144, A107145
>> primes, quadratic form, discriminant -164: A033228
>> primes, quadratic form, discriminant -168: A107146, A107147, A107148, A033229
>> primes, quadratic form, discriminant -172: A033230
>> primes, quadratic form, discriminant -176: A107149, A107150
>> primes, quadratic form, discriminant -180: A107151, A107152
>> primes, quadratic form, discriminant -184: A107153, A033231
>> primes, quadratic form, discriminant -188: A033232
>> primes, quadratic form, discriminant -192: A107154
>> primes, quadratic form, discriminant -196: A107155
>> primes, quadratic form, discriminant -200: A107156, A107157
>> primes, quadratic form, discriminant -204: A107158, A033233
>> primes, quadratic form, discriminant -208: A107159, A107160
>> primes, quadratic form, discriminant -212: A033234
>> primes, quadratic form, discriminant -216: A107161, A107162
>> primes, quadratic form, discriminant -220: A033235
>> primes, quadratic form, discriminant -224: A107163, A107164
>> primes, quadratic form, discriminant -228: A107165, A033236
>> primes, quadratic form, discriminant -232: A107166, A033237
>> primes, quadratic form, discriminant -236: A033238
>> primes, quadratic form, discriminant -240: A107167, A107168, A107169
>> primes, quadratic form, discriminant -244: A033239
>> primes, quadratic form, discriminant -248: A107170, A033240
>> primes, quadratic form, discriminant -256: A014754
>> primes, quadratic form, discriminant -260: A107171, A033241
>> primes, quadratic form, discriminant -264: A107172, A107173, A107174, A033242
>> primes, quadratic form, discriminant -268: A033243
>> primes, quadratic form, discriminant -272: A107175, A107176
>> primes, quadratic form, discriminant -276: A107177, A033244
>> primes, quadratic form, discriminant -280: A107178, A107179, A107180, A033245
>> primes, quadratic form, discriminant -284: A033246
>> primes, quadratic form, discriminant -288: A107181
>> primes, quadratic form, discriminant -292: A033247
>> primes, quadratic form, discriminant -296: A107182, A033248
>> primes, quadratic form, discriminant -300: A107183, A107184
>> primes, quadratic form, discriminant -304: A107185, A107186
>> primes, quadratic form, discriminant -308: A107187, A033249
>> primes, quadratic form, discriminant -312: A107188, A107189, A107190, A033250
>> primes, quadratic form, discriminant -316: A033251
>> primes, quadratic form, discriminant -320: A107191, A107192
>> primes, quadratic form, discriminant -324: A107193
>> primes, quadratic form, discriminant -328: A107194, A033252
>> primes, quadratic form, discriminant -332: A033253
>> primes, quadratic form, discriminant -336: A107195, A107196, A107197, A107198
>> primes, quadratic form, discriminant -340: A107199, A033254
>> primes, quadratic form, discriminant -344: A107200, A033255
>> primes, quadratic form, discriminant -348: A033256
>> primes, quadratic form, discriminant -352: A107201, A107202
>> primes, quadratic form, discriminant -356: A033257
>> primes, quadratic form, discriminant -360: A107203, A107204, A107205, A107206
>> primes, quadratic form, discriminant -364: A107207, A033258
>> primes, quadratic form, discriminant -368: A107208, A107209
>> primes, quadratic form, discriminant -372: A107210, A033202
>> primes, quadratic form, discriminant -376: A107211, A033204
>> primes, quadratic form, discriminant -380: A033206
>> primes, quadratic form, discriminant -384: A107212, A107213
>> primes, quadratic form, discriminant -388: A033208
>> primes, quadratic form, discriminant -392: A107214, A107215
>> primes, quadratic form, discriminant -396: A107216, A107217
>> primes, quadratic form, discriminant -400: A107218, A107219
>>
>> __________ NOD32 Informacje 2701 (20071204) __________
>>
>> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
>> http://www.nod32.com lub http://www.nod32.pl
>>
>>
>>
>>
>
>
> __________ NOD32 Informacje 2701 (20071204) __________
>
> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
> http://www.nod32.com lub http://www.nod32.pl
Alex,
For a message like that, you should probably not send it
to the whole mailing list.
Second, you should not send me suggestions like
that in the form of email! Please use the web page instead.
Can you send in these two sequences as new sequences:
a(n) = (2^(prime(n)) + 2^(prime(n + 1))) / 2^(prime(1))
34896609280, 584115552256, 2748779069440, 37383395344384,
2286984185774080, 146366987889541120, 720575940379279360,
37469948899722526720, 627189298506124754944, 2951479051793528258560]
and
a(n) = 1 + 2^( prime(n + 1) - prime(n) )
[3, 5, 5, 17, 5, 17, 5, 17, 65, 5, 65, 17, 5, 17, 65, 65, 5, 65, 17,
5, 65, 17, 65, 257, 17, 5, 17, 5, 17, 16385, ...]
Thanks
NJAS
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