What is the 5066th prime number?
The 5066th prime number is 49297. The next prime is 49307 (a gap of 10) and the one before is 49279.
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 5066th one is 49297.
- 2
49297 is prime because no prime up to ā49297 ā 222.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5066th prime is close to 5066 Ć ln(5066) ā 43215, and here it is 49297.
- 4
49297 has no twin: neither 49295 nor 49299 is prime.
Primes around the 5066th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5063 | 49261 | 8 |
| 5064 | 49277 | 16 |
| 5065 | 49279 | 2 |
| 5066 | 49297 | 18 |
| 5067 | 49307 | 10 |
| 5068 | 49331 | 24 |
| 5069 | 49333 | 2 |
Questions
What is the 5066th prime number?
49297.
Which prime number is 49297?
49297 is the 5066th prime number.
What is the sum of the first 5066 primes?
117,686,607.