Check your Mathematics - 6

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OcRam

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What are the largest and smallest 5-digit numbers that satisfy the following conditions?

Each digit of the number is a prime number.
Each successive pair of digits forms a 2-digit number that is NOT a prime number.
Each of the prime digits must appear at least once in the 5-digit number.

Note: I don't care either it is calculation problem or programming. I just know it uses knowledge of basic mathematics.

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norton

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Smallest: 25725

Largest: Still working on it.

Jerry_Garcia

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is it 35772 and 32527 ?

Chintamani

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22357

77532

OcRam

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Chintamani ko milena.

Jerry ko bhanda Norton ko number is smaller.

norton

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Largest: 35772

Jerry_Garcia

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ocram bro,

norton ko number (25725) ma 3 khoi ta ???

sabai prime digit aaunu parchha bhanya ta ??

Awash

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More study more confusion, no study no confusion...

Chintamani

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It should be 22357 and 77532.

parbatya

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32257 and 35772

norton

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Chintamani, you have 23 and 53 on your lowest and largest numbers respectively, which are prime numbers.

Chintamani

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Oh I got you Norton. I didnt see that point. Thank You.

Debonair

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If I have understood the conditions correctly, the numbers satisfying all the three conditions should be:

Largest: 35127

Smallest: 32751

norton

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Chintamani

norton

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Is 1 considered a prime number?

Chintamani

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parbatya is correct then

Debonair

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If 1 is not considered Prime number, then there is no solution to the question

because there are only 4 prime numbers with single digit (2, 3, 5 and 7)

and one of the condition is:

"Each successive pair of digits forms a 2-digit number that is NOT a prime number", so prime number with 2-digits can't used at all.

norton

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Yes I think Parbatya nailed it.

Debonair

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Or may be I have misundertood the conditions (sorry in that case :))

OcRam

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Parbatya is correct as usual.

The clue for solution is:
1. 3 should be the first digit otherwise we will get 2 digit numbers as prime (23, 53, 73)
2. With 3 in the beginning, 7 can not be 2nd digit as 37 is prime.

Rest you can add...