prime number pattern

Jan 2020
3
1
perth
I was working on prime numbers and I think I have discovered a pattern with prime numbers. After 100 every 6 th odd number will not be a prime see the attached file . In the attached file all the numbers between 1001 and 1250 shown as primes with an asterisk , odd (O) and even (E)

I have done all the numbers between 100 and 1000 and got the same result. I have done all the numbers between 1000 and 2000 and got the same result

every 6th odd number will not be a prime so after 1000 the sixth odd will be 1005, then 1011, then 1017,1023, 1031 etc etc ...none of these will be prime

is this new ?
 

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Jan 2020
3
1
perth
For the 2000s, - 2001, 2007, 2013, 2019, 2025, 2031....2997 won't be prime

in the 3000s, 3003,3009,3015,3021,3027 ....... 3999 won't be prime

4000s, - - 4005, 4011, 4017, 4023...4995 won't be prime

5000s - - 5001, 5007, 5013,5019 ....5997 won't be prime

It appears every 6th odd number will never be a prime.
 
Last edited:
Jan 2020
3
1
perth
actually it is every 3rd odd number, made the mistake bc of the way I arranged the data ...after 100 every 3rd odd number is not a prime
 
Aug 2012
2,482
776
actually it is every 3rd odd number, made the mistake bc of the way I arranged the data ...after 100 every 3rd odd number is not a prime
They're all divisible by 3. If a number's divisible by 3 and you add 6 to it, the result is divisible by 3.
 
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Feb 2020
46
0
St Louis
A prime does not care whether its value is even or odd. Think of 2.. the oddest prime of all. The pattern applies to all primes.