What is the 5968th prime number?
The 5968th prime number is 59029. The next prime is 59051 (a gap of 22) and the one before is 59023.
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 5968th one is 59029.
- 2
59029 is prime because no prime up to ā59029 ā 242.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5968th prime is close to 5968 Ć ln(5968) ā 51887, and here it is 59029.
- 4
59029 has no twin: neither 59027 nor 59031 is prime.
Primes around the 5968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5965 | 59011 | 2 |
| 5966 | 59021 | 10 |
| 5967 | 59023 | 2 |
| 5968 | 59029 | 6 |
| 5969 | 59051 | 22 |
| 5970 | 59053 | 2 |
| 5971 | 59063 | 10 |
Questions
What is the 5968th prime number?
59029.
Which prime number is 59029?
59029 is the 5968th prime number.
What is the sum of the first 5968 primes?
166,554,645.