how many prime numbers less that 100 and greater than 3 are of the
form:4x+1 , 5y-1
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Answer:
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Answered by
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Let the number be N.
So N = 4x + 1 = 5y - 1
= X = 5y-2/4
y = 2 satisfies the equation. So minimum number satisfies both the equations is 9 and general format of the numbers which satisfies the equation = k. LCM (4, 5) + 9 = 20k + 9.
Now by putting values 1, 2, 3 . . . . for k, we get 29, 49, 69, 89.
Of which only 29, 89 are prime
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