What is the 4891st prime number?
The 4891st prime number is 47431. The next prime is 47441 (a gap of 10) and the one before is 47419.
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 4891st one is 47431.
- 2
47431 is prime because no prime up to ā47431 ā 217.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4891st prime is close to 4891 Ć ln(4891) ā 41550, and here it is 47431.
- 4
47431 has no twin: neither 47429 nor 47433 is prime.
Primes around the 4891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4888 | 47407 | 18 |
| 4889 | 47417 | 10 |
| 4890 | 47419 | 2 |
| 4891 | 47431 | 12 |
| 4892 | 47441 | 10 |
| 4893 | 47459 | 18 |
| 4894 | 47491 | 32 |
Questions
What is the 4891st prime number?
47431.
Which prime number is 47431?
47431 is the 4891st prime number.
What is the sum of the first 4891 primes?
109,221,038.