What is the 4901st prime number?
The 4901st prime number is 47533. The next prime is 47543 (a gap of 10) and the one before is 47527.
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 4901st one is 47533.
- 2
47533 is prime because no prime up to ā47533 ā 218.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4901st prime is close to 4901 Ć ln(4901) ā 41645, and here it is 47533.
- 4
47533 has no twin: neither 47531 nor 47535 is prime.
Primes around the 4901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4898 | 47513 | 6 |
| 4899 | 47521 | 8 |
| 4900 | 47527 | 6 |
| 4901 | 47533 | 6 |
| 4902 | 47543 | 10 |
| 4903 | 47563 | 20 |
| 4904 | 47569 | 6 |
Questions
What is the 4901st prime number?
47533.
Which prime number is 47533?
47533 is the 4901st prime number.
What is the sum of the first 4901 primes?
109,696,028.