What is the 550th prime number?
The 550th prime number is 3989. The next prime is 4001 (a gap of 12) and the one before is 3967.
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 550th one is 3989.
- 2
3989 is prime because no prime up to ā3989 ā 63.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 550th prime is close to 550 Ć ln(550) ā 3470, and here it is 3989.
- 4
3989 has no twin: neither 3987 nor 3991 is prime.
Primes around the 550th
| Position | Prime | Gap from the previous |
|---|---|---|
| 547 | 3943 | 12 |
| 548 | 3947 | 4 |
| 549 | 3967 | 20 |
| 550 | 3989 | 22 |
| 551 | 4001 | 12 |
| 552 | 4003 | 2 |
| 553 | 4007 | 4 |
Questions
What is the 550th prime number?
3989.
Which prime number is 3989?
3989 is the 550th prime number.
What is the sum of the first 550 primes?
1,013,507.