What is the 4691st prime number?
The 4691st prime number is 45191. The next prime is 45197 (a gap of 6) and the one before is 45181.
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 4691st one is 45191.
- 2
45191 is prime because no prime up to ā45191 ā 212.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4691st prime is close to 4691 Ć ln(4691) ā 39655, and here it is 45191.
- 4
45191 has no twin: neither 45189 nor 45193 is prime.
Primes around the 4691st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4688 | 45161 | 22 |
| 4689 | 45179 | 18 |
| 4690 | 45181 | 2 |
| 4691 | 45191 | 10 |
| 4692 | 45197 | 6 |
| 4693 | 45233 | 36 |
| 4694 | 45247 | 14 |
Questions
What is the 4691st prime number?
45191.
Which prime number is 45191?
45191 is the 4691st prime number.
What is the sum of the first 4691 primes?
99,955,180.