What is the 5067th prime number?
The 5067th prime number is 49307. The next prime is 49331 (a gap of 24) and the one before is 49297.
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 5067th one is 49307.
- 2
49307 is prime because no prime up to ā49307 ā 222.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5067th prime is close to 5067 Ć ln(5067) ā 43224, and here it is 49307.
- 4
49307 has no twin: neither 49305 nor 49309 is prime.
Primes around the 5067th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5064 | 49277 | 16 |
| 5065 | 49279 | 2 |
| 5066 | 49297 | 18 |
| 5067 | 49307 | 10 |
| 5068 | 49331 | 24 |
| 5069 | 49333 | 2 |
| 5070 | 49339 | 6 |
Questions
What is the 5067th prime number?
49307.
Which prime number is 49307?
49307 is the 5067th prime number.
What is the sum of the first 5067 primes?
117,735,914.