What is the 552nd prime number?
The 552nd prime number is 4003. The next prime is 4007 (a gap of 4) and the one before is 4001.
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 552nd one is 4003.
- 2
4003 is prime because no prime up to ā4003 ā 63.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 552nd prime is close to 552 Ć ln(552) ā 3485, and here it is 4003.
- 4
4003 is a twin prime: 4001 and 4003 are both prime.
Primes around the 552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 549 | 3967 | 20 |
| 550 | 3989 | 22 |
| 551 | 4001 | 12 |
| 552 | 4003 | 2 |
| 553 | 4007 | 4 |
| 554 | 4013 | 6 |
| 555 | 4019 | 6 |
Questions
What is the 552nd prime number?
4003.
Which prime number is 4003?
4003 is the 552nd prime number.
What is the sum of the first 552 primes?
1,021,511.