OEIS index: almost prime gaps, quad form primes

Mon Apr 28 17:49:03 CEST 2008

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 
>
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