What is the 4491st prime number?
The 4491st prime number is 42961. The next prime is 42967 (a gap of 6) and the one before is 42953.
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 4491st one is 42961.
- 2
42961 is prime because no prime up to ā42961 ā 207.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4491st prime is close to 4491 Ć ln(4491) ā 37769, and here it is 42961.
- 4
42961 has no twin: neither 42959 nor 42963 is prime.
Primes around the 4491st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4488 | 42937 | 8 |
| 4489 | 42943 | 6 |
| 4490 | 42953 | 10 |
| 4491 | 42961 | 8 |
| 4492 | 42967 | 6 |
| 4493 | 42979 | 12 |
| 4494 | 42989 | 10 |
Questions
What is the 4491st prime number?
42961.
Which prime number is 42961?
42961 is the 4491st prime number.
What is the sum of the first 4491 primes?
91,133,322.