What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

I am eight letters long - "12345678"
My 1234 is an atmospheric condition.
My 34567 supports a plant.
My 4567 is too appropriate.
My 45 is a friendly thank-you.
My 678 is a man's name.

What word am I?

Find the missing number in the sequence below:

It is raining today at 11:59 am. What is the probability of sunny weather after 72 hours?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

I am a white box having no key or lid.
Yet there is a golden treasure inside it.

What Am I?

John and Jacob are twin brothers. One of them is a liar whereas the other one is a truth-teller.

I called their home number and one of them picked up.
I asked. 'Does John lie?' The person replied with a yes.

Whom did I talk with, John or Jacob?

Two guards were guarding the camp.Guard-1 was looking towards the south to make sure no threat is coming from the road.Guard-2 was looking at the north to make sure no threat is coming from the top. Suddenly Guard-1 ask the Guard-2 why he is smiling?How Guard-1 knows that Guard-2 is smiling?

What can you hold in your right hand, but never in your left hand?

Replace the (?) with the correct mathematical signs to make the expression equal to 59.

18 ? 12 ? 4 ? 5 = 59