What is the 4729th prime number?
The 4729th prime number is 45631. The next prime is 45641 (a gap of 10) and the one before is 45613.
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 4729th one is 45631.
- 2
45631 is prime because no prime up to ā45631 ā 213.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4729th prime is close to 4729 Ć ln(4729) ā 40014, and here it is 45631.
- 4
45631 has no twin: neither 45629 nor 45633 is prime.
Primes around the 4729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4726 | 45589 | 2 |
| 4727 | 45599 | 10 |
| 4728 | 45613 | 14 |
| 4729 | 45631 | 18 |
| 4730 | 45641 | 10 |
| 4731 | 45659 | 18 |
| 4732 | 45667 | 8 |
Questions
What is the 4729th prime number?
45631.
Which prime number is 45631?
45631 is the 4729th prime number.
What is the sum of the first 4729 primes?
101,681,044.