What is the 9555th prime number?
The 9555th prime number is 99577. The next prime is 99581 (a gap of 4) and the one before is 99571.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9555th one is 99577.
- 2
99577 is prime because no prime up to ā99577 ā 315.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9555th prime is close to 9555 Ć ln(9555) ā 87570, and here it is 99577.
- 4
99577 has no twin: neither 99575 nor 99579 is prime.
Primes around the 9555th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9552 | 99559 | 8 |
| 9553 | 99563 | 4 |
| 9554 | 99571 | 8 |
| 9555 | 99577 | 6 |
| 9556 | 99581 | 4 |
| 9557 | 99607 | 26 |
| 9558 | 99611 | 4 |
Questions
What is the 9555th prime number?
99577.
Which prime number is 99577?
99577 is the 9555th prime number.
What is the sum of the first 9555 primes?
450,704,356.