What is the 4412th prime number?
The 4412th prime number is 42197. The next prime is 42209 (a gap of 12) and the one before is 42193.
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 4412th one is 42197.
- 2
42197 is prime because no prime up to ā42197 ā 205.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4412th prime is close to 4412 Ć ln(4412) ā 37026, and here it is 42197.
- 4
42197 has no twin: neither 42195 nor 42199 is prime.
Primes around the 4412th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4409 | 42181 | 2 |
| 4410 | 42187 | 6 |
| 4411 | 42193 | 6 |
| 4412 | 42197 | 4 |
| 4413 | 42209 | 12 |
| 4414 | 42221 | 12 |
| 4415 | 42223 | 2 |
Questions
What is the 4412th prime number?
42197.
Which prime number is 42197?
42197 is the 4412th prime number.
What is the sum of the first 4412 primes?
87,769,543.