What is the 3753rd prime number?
The 3753rd prime number is 35221. The next prime is 35227 (a gap of 6) and the one before is 35201.
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 3753rd one is 35221.
- 2
35221 is prime because no prime up to ā35221 ā 187.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3753rd prime is close to 3753 Ć ln(3753) ā 30888, and here it is 35221.
- 4
35221 has no twin: neither 35219 nor 35223 is prime.
Primes around the 3753rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3750 | 35159 | 6 |
| 3751 | 35171 | 12 |
| 3752 | 35201 | 30 |
| 3753 | 35221 | 20 |
| 3754 | 35227 | 6 |
| 3755 | 35251 | 24 |
| 3756 | 35257 | 6 |
Questions
What is the 3753rd prime number?
35221.
Which prime number is 35221?
35221 is the 3753rd prime number.
What is the sum of the first 3753 primes?
62,242,406.