What is the 4034th prime number?
The 4034th prime number is 38219. The next prime is 38231 (a gap of 12) and the one before is 38201.
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 4034th one is 38219.
- 2
38219 is prime because no prime up to ā38219 ā 195.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4034th prime is close to 4034 Ć ln(4034) ā 33492, and here it is 38219.
- 4
38219 has no twin: neither 38217 nor 38221 is prime.
Primes around the 4034th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4031 | 38189 | 6 |
| 4032 | 38197 | 8 |
| 4033 | 38201 | 4 |
| 4034 | 38219 | 18 |
| 4035 | 38231 | 12 |
| 4036 | 38237 | 6 |
| 4037 | 38239 | 2 |
Questions
What is the 4034th prime number?
38219.
Which prime number is 38219?
38219 is the 4034th prime number.
What is the sum of the first 4034 primes?
72,559,717.