What is the 5967th prime number?
The 5967th prime number is 59023. The next prime is 59029 (a gap of 6) and the one before is 59021.
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 5967th one is 59023.
- 2
59023 is prime because no prime up to ā59023 ā 242.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5967th prime is close to 5967 Ć ln(5967) ā 51877, and here it is 59023.
- 4
59023 is a twin prime: 59021 and 59023 are both prime.
Primes around the 5967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5964 | 59009 | 12 |
| 5965 | 59011 | 2 |
| 5966 | 59021 | 10 |
| 5967 | 59023 | 2 |
| 5968 | 59029 | 6 |
| 5969 | 59051 | 22 |
| 5970 | 59053 | 2 |
Questions
What is the 5967th prime number?
59023.
Which prime number is 59023?
59023 is the 5967th prime number.
What is the sum of the first 5967 primes?
166,495,616.