What is the 3977th prime number?
The 3977th prime number is 37561. The next prime is 37567 (a gap of 6) and the one before is 37549.
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 3977th one is 37561.
- 2
37561 is prime because no prime up to ā37561 ā 193.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3977th prime is close to 3977 Ć ln(3977) ā 32963, and here it is 37561.
- 4
37561 has no twin: neither 37559 nor 37563 is prime.
Primes around the 3977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3974 | 37537 | 8 |
| 3975 | 37547 | 10 |
| 3976 | 37549 | 2 |
| 3977 | 37561 | 12 |
| 3978 | 37567 | 6 |
| 3979 | 37571 | 4 |
| 3980 | 37573 | 2 |
Questions
What is the 3977th prime number?
37561.
Which prime number is 37561?
37561 is the 3977th prime number.
What is the sum of the first 3977 primes?
70,400,432.