What is the 4403rd prime number?
The 4403rd prime number is 42101. The next prime is 42131 (a gap of 30) and the one before is 42089.
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 4403rd one is 42101.
- 2
42101 is prime because no prime up to ā42101 ā 205.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4403rd prime is close to 4403 Ć ln(4403) ā 36941, and here it is 42101.
- 4
42101 has no twin: neither 42099 nor 42103 is prime.
Primes around the 4403rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4400 | 42073 | 2 |
| 4401 | 42083 | 10 |
| 4402 | 42089 | 6 |
| 4403 | 42101 | 12 |
| 4404 | 42131 | 30 |
| 4405 | 42139 | 8 |
| 4406 | 42157 | 18 |
Questions
What is the 4403rd prime number?
42101.
Which prime number is 42101?
42101 is the 4403rd prime number.
What is the sum of the first 4403 primes?
87,390,010.