What is the 5064th prime number?
The 5064th prime number is 49277. The next prime is 49279 (a gap of 2) and the one before is 49261.
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 5064th one is 49277.
- 2
49277 is prime because no prime up to ā49277 ā 221.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5064th prime is close to 5064 Ć ln(5064) ā 43195, and here it is 49277.
- 4
49277 is a twin prime: 49277 and 49279 are both prime.
Primes around the 5064th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5061 | 49223 | 12 |
| 5062 | 49253 | 30 |
| 5063 | 49261 | 8 |
| 5064 | 49277 | 16 |
| 5065 | 49279 | 2 |
| 5066 | 49297 | 18 |
| 5067 | 49307 | 10 |
Questions
What is the 5064th prime number?
49277.
Which prime number is 49277?
49277 is the 5064th prime number.
What is the sum of the first 5064 primes?
117,588,031.