What is the 4011th prime number?
The 4011th prime number is 37957. The next prime is 37963 (a gap of 6) and the one before is 37951.
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 4011th one is 37957.
- 2
37957 is prime because no prime up to ā37957 ā 194.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4011th prime is close to 4011 Ć ln(4011) ā 33278, and here it is 37957.
- 4
37957 has no twin: neither 37955 nor 37959 is prime.
Primes around the 4011th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4008 | 37897 | 8 |
| 4009 | 37907 | 10 |
| 4010 | 37951 | 44 |
| 4011 | 37957 | 6 |
| 4012 | 37963 | 6 |
| 4013 | 37967 | 4 |
| 4014 | 37987 | 20 |
Questions
What is the 4011th prime number?
37957.
Which prime number is 37957?
37957 is the 4011th prime number.
What is the sum of the first 4011 primes?
71,683,650.