What is the 5969th prime number?
The 5969th prime number is 59051. The next prime is 59053 (a gap of 2) and the one before is 59029.
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 5969th one is 59051.
- 2
59051 is prime because no prime up to ā59051 ā 243.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5969th prime is close to 5969 Ć ln(5969) ā 51896, and here it is 59051.
- 4
59051 is a twin prime: 59051 and 59053 are both prime.
Primes around the 5969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5966 | 59021 | 10 |
| 5967 | 59023 | 2 |
| 5968 | 59029 | 6 |
| 5969 | 59051 | 22 |
| 5970 | 59053 | 2 |
| 5971 | 59063 | 10 |
| 5972 | 59069 | 6 |
Questions
What is the 5969th prime number?
59051.
Which prime number is 59051?
59051 is the 5969th prime number.
What is the sum of the first 5969 primes?
166,613,696.