What is the 4074th prime number?
The 4074th prime number is 38671. The next prime is 38677 (a gap of 6) and the one before is 38669.
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 4074th one is 38671.
- 2
38671 is prime because no prime up to ā38671 ā 196.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4074th prime is close to 4074 Ć ln(4074) ā 33865, and here it is 38671.
- 4
38671 is a twin prime: 38669 and 38671 are both prime.
Primes around the 4074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4071 | 38651 | 12 |
| 4072 | 38653 | 2 |
| 4073 | 38669 | 16 |
| 4074 | 38671 | 2 |
| 4075 | 38677 | 6 |
| 4076 | 38693 | 16 |
| 4077 | 38699 | 6 |
Questions
What is the 4074th prime number?
38671.
Which prime number is 38671?
38671 is the 4074th prime number.
What is the sum of the first 4074 primes?
74,097,573.