Math, asked by shadowsabers03, 1 year ago

How many pairs of prime numbers are there which can obtain 999 as the sum? Write the pairs. Explain how it is found.

Answers

Answered by maheshwarirekhpdl4ne

The number of Prime Number Pairs having sum 999 is Zero(0)

Because if the sum of digits of a number is 999 it means it is divisible by 3 and 9 So it can't be a Prime Number

Hope you Understood!!

shadowsabers03: Can you explain it again? I can't understand anything.

shadowsabers03: But the answer is wrong.

shadowsabers03: No. of prime number pairs having sum 999 is 0?

shadowsabers03: Why 997 + 2 = 999?

maheshwarirekhpdl4ne: Ooops, I interpreted the question Wrong!!
I interpreted as the sum of digits of a Prime Number is 999
But it is not so.... It is asking for pairs of two different prime numbers
Sorry!!

shadowsabers03: Oh, can you edit your answer?

shadowsabers03: If the sum of digits of a prime number is 999, then the number would be a large number. But the question doesn't mean this.

maheshwarirekhpdl4ne: How to *Edit* the answer?

shadowsabers03: There may be an option 'edit' at right bottom of your answer. Can the option be seen?

maheshwarirekhpdl4ne: No

Answered by mkrishnan

Answer:

only one pair of prime numbers are there which can obtain 999 as the sum

[ 2, 997 ]

Step-by-step explanation:

suppose the two prime numbers are odd

then sum is even

so sum can not be 999

so one prime number must be even clearly 2 [ only one even prime ]

997 is a prime

[ note ; to show 997 is prime check this only : no prime number less √997 is a factor ]

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