What is the 551st prime number?
The 551st prime number is 4001. The next prime is 4003 (a gap of 2) and the one before is 3989.
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 551st one is 4001.
- 2
4001 is prime because no prime up to ā4001 ā 63.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 551st prime is close to 551 Ć ln(551) ā 3478, and here it is 4001.
- 4
4001 is a twin prime: 4001 and 4003 are both prime.
Primes around the 551st
| Position | Prime | Gap from the previous |
|---|---|---|
| 548 | 3947 | 4 |
| 549 | 3967 | 20 |
| 550 | 3989 | 22 |
| 551 | 4001 | 12 |
| 552 | 4003 | 2 |
| 553 | 4007 | 4 |
| 554 | 4013 | 6 |
Questions
What is the 551st prime number?
4001.
Which prime number is 4001?
4001 is the 551st prime number.
What is the sum of the first 551 primes?
1,017,508.