What is the 4235th prime number?
The 4235th prime number is 40361. The next prime is 40387 (a gap of 26) and the one before is 40357.
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 4235th one is 40361.
- 2
40361 is prime because no prime up to ā40361 ā 200.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4235th prime is close to 4235 Ć ln(4235) ā 35367, and here it is 40361.
- 4
40361 has no twin: neither 40359 nor 40363 is prime.
Primes around the 4235th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4232 | 40343 | 54 |
| 4233 | 40351 | 8 |
| 4234 | 40357 | 6 |
| 4235 | 40361 | 4 |
| 4236 | 40387 | 26 |
| 4237 | 40423 | 36 |
| 4238 | 40427 | 4 |
Questions
What is the 4235th prime number?
40361.
Which prime number is 40361?
40361 is the 4235th prime number.
What is the sum of the first 4235 primes?
80,456,258.