What is the 4021st prime number?
The 4021st prime number is 38053. The next prime is 38069 (a gap of 16) and the one before is 38047.
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 4021st one is 38053.
- 2
38053 is prime because no prime up to ā38053 ā 195.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4021st prime is close to 4021 Ć ln(4021) ā 33371, and here it is 38053.
- 4
38053 has no twin: neither 38051 nor 38055 is prime.
Primes around the 4021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4018 | 38011 | 14 |
| 4019 | 38039 | 28 |
| 4020 | 38047 | 8 |
| 4021 | 38053 | 6 |
| 4022 | 38069 | 16 |
| 4023 | 38083 | 14 |
| 4024 | 38113 | 30 |
Questions
What is the 4021st prime number?
38053.
Which prime number is 38053?
38053 is the 4021st prime number.
What is the sum of the first 4021 primes?
72,063,698.