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.

Smallest: 25725   

Largest: Still working on it.

is it 35772 and 32527 ?

22357

77532

Chintamani ko milena.

Jerry ko bhanda Norton ko number is smaller.

Largest: 35772

ocram bro,

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

sabai prime digit aaunu parchha bhanya ta ??

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

It should be 22357 and 77532.

32257 and 35772

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

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

Chintamani

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

Largest: 35127

Smallest: 32751

 

Is 1 considered a prime number?

parbatya is correct then

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.

 

 

 

Yes I think Parbatya nailed it.   

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

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...

KHAI KE KHAI KE PYAAT MA TA!!!!