What is the 4401st prime number?
The 4401st prime number is 42083. The next prime is 42089 (a gap of 6) and the one before is 42073.
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 4401st one is 42083.
- 2
42083 is prime because no prime up to ā42083 ā 205.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4401st prime is close to 4401 Ć ln(4401) ā 36923, and here it is 42083.
- 4
42083 has no twin: neither 42081 nor 42085 is prime.
Primes around the 4401st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4398 | 42061 | 18 |
| 4399 | 42071 | 10 |
| 4400 | 42073 | 2 |
| 4401 | 42083 | 10 |
| 4402 | 42089 | 6 |
| 4403 | 42101 | 12 |
| 4404 | 42131 | 30 |
Questions
What is the 4401st prime number?
42083.
Which prime number is 42083?
42083 is the 4401st prime number.
What is the sum of the first 4401 primes?
87,305,820.