What is the 4303rd prime number?
The 4303rd prime number is 41131. The next prime is 41141 (a gap of 10) and the one before is 41117.
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 4303rd one is 41131.
- 2
41131 is prime because no prime up to ā41131 ā 202.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4303rd prime is close to 4303 Ć ln(4303) ā 36003, and here it is 41131.
- 4
41131 has no twin: neither 41129 nor 41133 is prime.
Primes around the 4303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4300 | 41081 | 4 |
| 4301 | 41113 | 32 |
| 4302 | 41117 | 4 |
| 4303 | 41131 | 14 |
| 4304 | 41141 | 10 |
| 4305 | 41143 | 2 |
| 4306 | 41149 | 6 |
Questions
What is the 4303rd prime number?
41131.
Which prime number is 41131?
41131 is the 4303rd prime number.
What is the sum of the first 4303 primes?
83,228,008.