What is the 5964th prime number?
The 5964th prime number is 59009. The next prime is 59011 (a gap of 2) and the one before is 58997.
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 5964th one is 59009.
- 2
59009 is prime because no prime up to ā59009 ā 242.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5964th prime is close to 5964 Ć ln(5964) ā 51848, and here it is 59009.
- 4
59009 is a twin prime: 59009 and 59011 are both prime.
Primes around the 5964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5961 | 58979 | 12 |
| 5962 | 58991 | 12 |
| 5963 | 58997 | 6 |
| 5964 | 59009 | 12 |
| 5965 | 59011 | 2 |
| 5966 | 59021 | 10 |
| 5967 | 59023 | 2 |
Questions
What is the 5964th prime number?
59009.
Which prime number is 59009?
59009 is the 5964th prime number.
What is the sum of the first 5964 primes?
166,318,561.