What is the 4010th prime number?
The 4010th prime number is 37951. The next prime is 37957 (a gap of 6) and the one before is 37907.
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 4010th one is 37951.
- 2
37951 is prime because no prime up to ā37951 ā 194.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4010th prime is close to 4010 Ć ln(4010) ā 33269, and here it is 37951.
- 4
37951 has no twin: neither 37949 nor 37953 is prime.
Primes around the 4010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4007 | 37889 | 10 |
| 4008 | 37897 | 8 |
| 4009 | 37907 | 10 |
| 4010 | 37951 | 44 |
| 4011 | 37957 | 6 |
| 4012 | 37963 | 6 |
| 4013 | 37967 | 4 |
Questions
What is the 4010th prime number?
37951.
Which prime number is 37951?
37951 is the 4010th prime number.
What is the sum of the first 4010 primes?
71,645,693.