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Search: a115103 -id:a115103
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Primes p such that p+1 and p-1 have the same number of distinct prime factors.
+10
4
3, 11, 13, 19, 23, 37, 47, 53, 73, 97, 107, 131, 139, 163, 181, 193, 229, 239, 281, 307, 311, 349, 373, 379, 383, 409, 439, 443, 487, 491, 521, 577, 599, 601, 617, 619, 643, 683, 701, 709, 727, 739, 743, 761, 811, 821, 827, 829, 853, 863, 881, 883, 919, 937
Primes p such that p - k and p + k have the same number of prime factors (with multiplicity), for k = 1..7.
+10
3
91289867, 247780811, 350499731, 353523083, 394923913, 418273259, 441459853, 452876747, 645159257, 702723851, 718541749, 728741617, 729758423, 776424947, 791860151, 1191670069, 1289075413, 1457951063, 1508119211, 1527473449, 1563808777, 1568639509, 1611010391, 1662823523, 1705045429, 1801303463, 1856184949, 1869622537, 1973952949, 2003664181, 2185051189, 2204016173, 2310441383, 2331375133, 2439952297, 2448065387
Primes p such that p - 2 and p + 2 have the same number of prime factors, counted with multiplicity.
+10
3
5, 23, 37, 53, 67, 89, 113, 131, 157, 173, 211, 251, 277, 293, 307, 337, 379, 409, 449, 487, 491, 499, 503, 607, 631, 683, 701, 719, 751, 769, 787, 919, 929, 941, 953, 991, 1009, 1039, 1117, 1129, 1181, 1193, 1201, 1237, 1259, 1381, 1399, 1439, 1459, 1471, 1493, 1499, 1511, 1549, 1567, 1597, 1613
Primes p such that p - k and p + k have the same number of prime factors (with multiplicity), for k = 1..6.
+10
2
2131991, 2917927, 3776273, 4742407, 6853409, 16850609, 21789233, 24095791, 24810251, 26316233, 27470537, 27667529, 28962127, 29896439, 30949327, 31289527, 36123853, 36443893, 38824913, 40941233, 41660009, 42533551, 44233193, 45868967, 48313567, 49265009, 51135991
Primes p such that p - k and p + k have the same number of prime factors (with multiplicity), for k = 1..8.
+10
2
409476689, 567234347, 626039111, 1072153139, 1496271467, 2076082213, 2624039507, 2727032857, 3211049893, 3735161737, 5378782091, 6126967991, 6945015541, 6976654453, 8002150391, 8363830667, 9010299827, 9238046989, 9559151653, 10108444091, 10673561207, 11220524747, 11755487027

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