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∙ 11y ago102
There are an infinite number of square numbers and prime numbers whose sums are a prime number. Examples are 202 + 103 = 503, 22 + 13 = 17, 102 + 601 = 701, 22 + 163 = 167, 42 + 141 = 157, etc.
The prime numbers up to 50 are: 2,3,5,7,11,13,17,23,29,31,37,41,43,47.
Prime numbers are those numbers which are only divisible by itself Likewise, 1,3,5,7,11,13,17,19,23,,29,31,37,41,43,47,51,53,57,59. These are the only prime numbers upto 60.
There are no prime numbers greater than 10 that add up to 29. Since all prime numbers greater than 2 are odd numbers, no two prime numbers greater than 2 can have an even number for their sum.
102
There are an infinite number of square numbers and prime numbers whose sums are a prime number. Examples are 202 + 103 = 503, 22 + 13 = 17, 102 + 601 = 701, 22 + 163 = 167, 42 + 141 = 157, etc.
There is an infinite number of prime numbers after 500!
102
The prime numbers up to 50 are: 2,3,5,7,11,13,17,23,29,31,37,41,43,47.
Prime numbers are those numbers which are only divisible by itself Likewise, 1,3,5,7,11,13,17,19,23,,29,31,37,41,43,47,51,53,57,59. These are the only prime numbers upto 60.
102*25=2550
So the composite numbers won't get all bunched up.
There are no prime numbers greater than 10 that add up to 29. Since all prime numbers greater than 2 are odd numbers, no two prime numbers greater than 2 can have an even number for their sum.
2,3,5,7,11,13,17,19,23,29,31,37,39,41,43,47,51,53,57,59,61,67,71,73
All of the prime numbers (except 2) are odd. The sum of any two prime numbers (except 2) will be even. Unless 245 is a prime number (it isn't) your question does not have a solution.
Look up a table of prime numbers. All those numbers that are not prime, are composite - except 1, which is neither prime nor composite.