What is the 4202nd prime number?
The 4202nd prime number is 39983. The next prime is 39989 (a gap of 6) and the one before is 39979.
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 4202nd one is 39983.
- 2
39983 is prime because no prime up to ā39983 ā 199.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4202nd prime is close to 4202 Ć ln(4202) ā 35059, and here it is 39983.
- 4
39983 has no twin: neither 39981 nor 39985 is prime.
Primes around the 4202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4199 | 39953 | 16 |
| 4200 | 39971 | 18 |
| 4201 | 39979 | 8 |
| 4202 | 39983 | 4 |
| 4203 | 39989 | 6 |
| 4204 | 40009 | 20 |
| 4205 | 40013 | 4 |
Questions
What is the 4202nd prime number?
39983.
Which prime number is 39983?
39983 is the 4202nd prime number.
What is the sum of the first 4202 primes?
79,130,677.