What is the 5965th prime number?
The 5965th prime number is 59011. The next prime is 59021 (a gap of 10) and the one before is 59009.
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 5965th one is 59011.
- 2
59011 is prime because no prime up to ā59011 ā 242.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5965th prime is close to 5965 Ć ln(5965) ā 51858, and here it is 59011.
- 4
59011 is a twin prime: 59009 and 59011 are both prime.
Primes around the 5965th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5962 | 58991 | 12 |
| 5963 | 58997 | 6 |
| 5964 | 59009 | 12 |
| 5965 | 59011 | 2 |
| 5966 | 59021 | 10 |
| 5967 | 59023 | 2 |
| 5968 | 59029 | 6 |
Questions
What is the 5965th prime number?
59011.
Which prime number is 59011?
59011 is the 5965th prime number.
What is the sum of the first 5965 primes?
166,377,572.