A319985 -id:A319985 - cp's OEIS frontend

A319984 Fully multiplicative with a(p^e) = prime(p mod 4)^e.

1, 3, 5, 9, 2, 15, 5, 27, 25, 6, 5, 45, 2, 15, 10, 81, 2, 75, 5, 18, 25, 15, 5, 135, 4, 6, 125, 45, 2, 30, 5, 243, 25, 6, 10, 225, 2, 15, 10, 54, 2, 75, 5, 45, 50, 15, 5, 405, 25, 12, 10, 18, 2, 375, 10, 135, 25, 6, 5, 90, 2, 15, 125, 729, 4, 75, 5, 18, 25, 30, 5, 675, 2, 6, 20, 45, 25, 30, 5, 162, 625, 6, 5, 225, 4, 15, 10, 135, 2, 150, 10, 45, 25, 15, 10

Offset: 1

Antti Karttunen, Oct 06 2018

For all i, j:

A319714(i) = A319714(j) => a(i) = a(j) => A065338(i) = A065338(j).

Antti Karttunen, Table of n, a(n) for n = 1..10000
Antti Karttunen, Data supplement: n, a(n) computed for n = 1..100000

Cf. also A065338, A319714, A319985, A319986, A319987, A320114, A320115.

A319984(n) = { my(f=factor(n)); prod(i=1, #f~, (prime(f[i, 1]%4))^f[i, 2]); };

For all n, A003963(a(n)) = A065338(n).

A319986 Fully multiplicative with a(p^e) = prime(p mod 6)^e.

Original entry on oeis.org

1, 3, 5, 9, 11, 15, 2, 27, 25, 33, 11, 45, 2, 6, 55, 81, 11, 75, 2, 99, 10, 33, 11, 135, 121, 6, 125, 18, 11, 165, 2, 243, 55, 33, 22, 225, 2, 6, 10, 297, 11, 30, 2, 99, 275, 33, 11, 405, 4, 363, 55, 18, 11, 375, 121, 54, 10, 33, 11, 495, 2, 6, 50, 729, 22, 165, 2, 99, 55, 66, 11, 675, 2, 6, 605, 18, 22, 30, 2, 891, 625, 33, 11, 90, 121, 6

Offset: 1

Antti Karttunen, Oct 06 2018

For all i, j:

A319716(i) = A319716(j) => a(i) = a(j) => A319690(i) = A319690(j).

Antti Karttunen, Table of n, a(n) for n = 1..10000
Antti Karttunen, Data supplement: n, a(n) computed for n = 1..100000

Cf. A319690, A319716, A319984, A319985, A319987, A320116, A320117.

A319986(n) = { my(f=factor(n)); prod(i=1, #f~, (prime(f[i, 1]%6))^f[i, 2]); };

A319987 Fully multiplicative with a(p^e) = prime(p mod 8)^e.

Original entry on oeis.org

1, 3, 5, 9, 11, 15, 17, 27, 25, 33, 5, 45, 11, 51, 55, 81, 2, 75, 5, 99, 85, 15, 17, 135, 121, 33, 125, 153, 11, 165, 17, 243, 25, 6, 187, 225, 11, 15, 55, 297, 2, 255, 5, 45, 275, 51, 17, 405, 289, 363, 10, 99, 11, 375, 55, 459, 25, 33, 5, 495, 11, 51, 425, 729, 121, 75, 5, 18, 85, 561, 17, 675, 2, 33, 605, 45, 85, 165, 17, 891, 625, 6, 5

Offset: 1

Antti Karttunen, Oct 06 2018

For all i, j: a(i) = a(j) => A319984(i) = A319984(j).

Antti Karttunen, Table of n, a(n) for n = 1..10000
Antti Karttunen, Data supplement: n, a(n) computed for n = 1..100000

Cf. A319984, A319985, A319986.

A319987(n) = { my(f=factor(n)); prod(i=1, #f~, (prime(f[i, 1]%8))^f[i, 2]); };

A320112 a(n) = Product_{d|n, d>1} prime(1+(d mod 12)).

Original entry on oeis.org

1, 5, 7, 55, 13, 595, 19, 1265, 203, 2015, 37, 13090, 3, 475, 637, 13915, 13, 293335, 19, 509795, 3857, 5735, 37, 602140, 39, 75, 1421, 57475, 13, 28534415, 19, 320045, 7511, 2015, 9139, 12906740, 3, 475, 147, 128978135, 13, 27866825, 19, 1450955, 535717, 5735, 37, 13247080, 57, 30225, 637, 9075, 13, 34906865, 9139, 30404275, 3857, 2015, 37

Offset: 1

Antti Karttunen, Oct 06 2018

nonn

Antti Karttunen, Table of n, a(n) for n = 1..8192

Cf. A319985, A320108, A320114, A320116.

Cf. A320113 (rgs-transform).

A320112(n) = { my(m=1); fordiv(n,d,if(d>1, m *= prime(1+(d%12)))); (m); };

a(n) = Product_{d|n, d>1} prime(1+(d mod 12)).

cp's OEIS Frontend

A319984 Fully multiplicative with a(p^e) = prime(p mod 4)^e.

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A319986 Fully multiplicative with a(p^e) = prime(p mod 6)^e.

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A319987 Fully multiplicative with a(p^e) = prime(p mod 8)^e.

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A320112 a(n) = Product_{d|n, d>1} prime(1+(d mod 12)).

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