Prime number of form 10n+1 where is n is whole no, n greater than 1
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 Yohan Somu asked in Math
HOW MANY PRIMES ARE OF THE FORM 10n+1, WHERE n IS A WHOLE NUMBER SUCH THAT 1 < OR= TO n < OR = 10???
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 Ajanta answered this
14122 helpful votes in Math, Class XII-Science
the number is of the form 10n+1 , []
10*1+1=11 is a prime number
10*2+1=21 is not a prime number
10*3+1 = 31 is a prime number.
10*4+1 = 41 is a prime number.
10*5+1 = 51 is not a prime number [sum of digits is divisible by 3, thus the number is divisible by 3]
10*6+1 = 61 is a prime number.
10*7+1 = 71 is a prime number.
10*8+1 = 81 is not a prime number.
10*9+1 = 91 is not a prime number. [divisible by 13 and 7]
10*10+1=101 is a prime number.
therefore 7 prime numbers of the form 10n+1 exist. where []
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Answer:
Step-by-step explanation:
There are 6 prime nos of the form 10n + 1 when n is defined between values 1 to 10.
p(1) = 10*1+1 = 11 which is prime
p(2) = 21 Not prime
p(3) = 31 Prime
p(4) = 41 Prime
p(5) = 51 Not Prime
p(6) = 61 Prime
p(7) = 71 Prime
p(8) = 81 Not Prime
p(9) = 91 Not Prime
p(10) = 101 Prime
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