A367287
Numbers k such that k^6*2^k + 1 is a prime.
Original entry on oeis.org
1, 2, 4, 62, 80, 122, 136, 658, 1918, 2998, 3404, 4042, 5678, 8378, 10438, 23530, 24610, 29090, 41650, 120818
Offset: 1
Numbers k such that k^m*2^k + 1 is a prime: 0, 1, 2, 4, 8, 16, .. (m = 0),
A005849 (m = 1),
A058780 (m = 2),
A357612 (m = 3),
A366422 (m = 4),
A367421 (m = 5), this sequence (m = 6).
A367561
Numbers k such that k^7*2^k - 1 is a prime.
Original entry on oeis.org
6, 45, 55, 80, 135, 187, 205, 384, 405, 1291, 1364, 2301, 2486, 2844, 16892, 27308, 30152, 32535, 45324, 71522, 72865
Offset: 1
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[k: k in [1..4000] | IsPrime(k^7*2^k-1)];
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Select[Range[3000], PrimeQ[#^7*2^# - 1] &] (* Amiram Eldar, Nov 23 2023 *)
A367572
Numbers k such that k^8*2^k - 1 is a prime.
Original entry on oeis.org
5, 7, 49, 165, 251, 345, 385, 945, 949, 1001, 1963, 2113, 2249, 3751, 4381, 4911, 5133, 10039, 29693, 34901, 73885, 99319, 104883, 113613
Offset: 1
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[k: k in [1..4000] | IsPrime(k^8*2^k-1)];
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Select[Range[5000], PrimeQ[#^8*2^# - 1] &] (* Amiram Eldar, Nov 23 2023 *)
Showing 1-3 of 3 results.
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