What is the 4620th prime number?
The 4620th prime number is 44449. The next prime is 44453 (a gap of 4) and the one before is 44417.
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 4620th one is 44449.
- 2
44449 is prime because no prime up to ā44449 ā 210.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4620th prime is close to 4620 Ć ln(4620) ā 38984, and here it is 44449.
- 4
44449 has no twin: neither 44447 nor 44451 is prime.
Primes around the 4620th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4617 | 44383 | 2 |
| 4618 | 44389 | 6 |
| 4619 | 44417 | 28 |
| 4620 | 44449 | 32 |
| 4621 | 44453 | 4 |
| 4622 | 44483 | 30 |
| 4623 | 44491 | 8 |
Questions
What is the 4620th prime number?
44449.
Which prime number is 44449?
44449 is the 4620th prime number.
What is the sum of the first 4620 primes?
96,773,631.