What is the 4051st prime number?
The 4051st prime number is 38377. The next prime is 38393 (a gap of 16) and the one before is 38371.
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 4051st one is 38377.
- 2
38377 is prime because no prime up to ā38377 ā 195.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4051st prime is close to 4051 Ć ln(4051) ā 33651, and here it is 38377.
- 4
38377 has no twin: neither 38375 nor 38379 is prime.
Primes around the 4051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4048 | 38333 | 4 |
| 4049 | 38351 | 18 |
| 4050 | 38371 | 20 |
| 4051 | 38377 | 6 |
| 4052 | 38393 | 16 |
| 4053 | 38431 | 38 |
| 4054 | 38447 | 16 |
Questions
What is the 4051st prime number?
38377.
Which prime number is 38377?
38377 is the 4051st prime number.
What is the sum of the first 4051 primes?
73,210,854.