+0

# Find the sum of the orders mod 83 over all elements of the set ​. (If multiple elements have the same order, add that term multiple times.)

-1
291
1
+79

Find the sum of the orders mod 83 over all elements of the set \(\$\{1,2,3,\ldots,82\}\$\). (If multiple elements have the same order, add that term multiple times.)

May 9, 2019

#1
+23903
+2

Find the sum of the orders mod 83 over all elements of the \(set \{1,2,3,\ldots,82\}\).

(If multiple elements have the same order, add that term multiple times.)

ord83(1)=1
ord83(2)=82
ord83(3)=41
ord83(4)=41
ord83(5)=82
ord83(6)=82
ord83(7)=41
ord83(8)=82
ord83(9)=41
ord83(10)=41
ord83(11)=41
ord83(12)=41
ord83(13)=82
ord83(14)=82
ord83(15)=82
ord83(16)=41
ord83(17)=41
ord83(18)=82
ord83(19)=82
ord83(20)=82
ord83(21)=41
ord83(22)=82
ord83(23)=41
ord83(24)=82
ord83(25)=41
ord83(26)=41
ord83(27)=41
ord83(28)=41
ord83(29)=41
ord83(30)=41
ord83(31)=41
ord83(32)=82
ord83(33)=41
ord83(34)=82
ord83(35)=82
ord83(36)=41
ord83(37)=41
ord83(38)=41
ord83(39)=82
ord83(40)=41
ord83(41)=41
ord83(42)=82
ord83(43)=82
ord83(44)=41
ord83(45)=82
ord83(46)=82
ord83(47)=82
ord83(48)=41
ord83(49)=41
ord83(50)=82
ord83(51)=41
ord83(52)=82
ord83(53)=82
ord83(54)=82
ord83(55)=82
ord83(56)=82
ord83(57)=82
ord83(58)=82
ord83(59)=41
ord83(60)=82
ord83(61)=41
ord83(62)=82
ord83(63)=41
ord83(64)=41
ord83(65)=41
ord83(66)=82
ord83(67)=82
ord83(68)=41
ord83(69)=41
ord83(70)=41
ord83(71)=82
ord83(72)=82
ord83(73)=82
ord83(74)=82
ord83(75)=41
ord83(76)=82
ord83(77)=41
ord83(78)=41
ord83(79)=82
ord83(80)=82
ord83(81)=41
ord83(82)=2

sum = 4923

May 10, 2019

#1
+23903
+2

Find the sum of the orders mod 83 over all elements of the \(set \{1,2,3,\ldots,82\}\).

(If multiple elements have the same order, add that term multiple times.)

ord83(1)=1
ord83(2)=82
ord83(3)=41
ord83(4)=41
ord83(5)=82
ord83(6)=82
ord83(7)=41
ord83(8)=82
ord83(9)=41
ord83(10)=41
ord83(11)=41
ord83(12)=41
ord83(13)=82
ord83(14)=82
ord83(15)=82
ord83(16)=41
ord83(17)=41
ord83(18)=82
ord83(19)=82
ord83(20)=82
ord83(21)=41
ord83(22)=82
ord83(23)=41
ord83(24)=82
ord83(25)=41
ord83(26)=41
ord83(27)=41
ord83(28)=41
ord83(29)=41
ord83(30)=41
ord83(31)=41
ord83(32)=82
ord83(33)=41
ord83(34)=82
ord83(35)=82
ord83(36)=41
ord83(37)=41
ord83(38)=41
ord83(39)=82
ord83(40)=41
ord83(41)=41
ord83(42)=82
ord83(43)=82
ord83(44)=41
ord83(45)=82
ord83(46)=82
ord83(47)=82
ord83(48)=41
ord83(49)=41
ord83(50)=82
ord83(51)=41
ord83(52)=82
ord83(53)=82
ord83(54)=82
ord83(55)=82
ord83(56)=82
ord83(57)=82
ord83(58)=82
ord83(59)=41
ord83(60)=82
ord83(61)=41
ord83(62)=82
ord83(63)=41
ord83(64)=41
ord83(65)=41
ord83(66)=82
ord83(67)=82
ord83(68)=41
ord83(69)=41
ord83(70)=41
ord83(71)=82
ord83(72)=82
ord83(73)=82
ord83(74)=82
ord83(75)=41
ord83(76)=82
ord83(77)=41
ord83(78)=41
ord83(79)=82
ord83(80)=82
ord83(81)=41
ord83(82)=2

sum = 4923

heureka May 10, 2019