What is the 5966th prime number?
The 5966th prime number is 59021. The next prime is 59023 (a gap of 2) and the one before is 59011.
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 5966th one is 59021.
- 2
59021 is prime because no prime up to ā59021 ā 242.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5966th prime is close to 5966 Ć ln(5966) ā 51867, and here it is 59021.
- 4
59021 is a twin prime: 59021 and 59023 are both prime.
Primes around the 5966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5963 | 58997 | 6 |
| 5964 | 59009 | 12 |
| 5965 | 59011 | 2 |
| 5966 | 59021 | 10 |
| 5967 | 59023 | 2 |
| 5968 | 59029 | 6 |
| 5969 | 59051 | 22 |
Questions
What is the 5966th prime number?
59021.
Which prime number is 59021?
59021 is the 5966th prime number.
What is the sum of the first 5966 primes?
166,436,593.