π=3.14159265358979
π^e=22.45915771
π!=7.18808273
π^π=36.46215964
π^.873568527=e
pi in base 8 = 3.111103755
Factorials
0! = 1
-(1/2)!=1.77245385=√π
(1/2)!=.88622693=√π/2
-π!=-3.19090668
-(π/2)!=-3.61674395
√π=1.772453851
(√π)!=1.638386802
(√π)‼=1.471945255
(√π)‼!=1.303626294
(√π)‼‼=1.169257510
(√π)‼‼!=1.083514580
(√π)‼‼‼=103838052
-π^2/2!+π^4/4!-π^6/6!+π^8/8!…=-2
-π^3/3!+π^5/5!-π^7/7!+π^9/9!…=-π
π/4=1-1/3+1/5-1/7+1/9-…
π=4-4/3+4/5-4/7+4/9-…
π^2/6=1+1/2^2 +1/3^2 +1/4^2 +⋯
π^2/12=1-1/2^2 +1/3^2 -1/4^2 +1/5^2 -…
π^2/8=1+1/3^2 +1/5^2 +1/7^2 +1/9^2 +⋯
π^2=8+8/3^2 +8/5^2 +8/7^2 +⋯
π^2/24=1/2^2 +1/4^2 +1/6^2 +1/8^2 +⋯
π^2/48=1/2^2 -1/4^2 -1/6^2 -1/8^2 -…
π^3/32=1-1/3^3 +1/5^3 -1/7^3 +⋯
π^4/90=1+1/2^4 +1/3^4 +1/4^4 +⋯
π^4/96=1+1/3^4 +1/5^4 +1/7^4 +⋯
(7π^4)/720=1-1/2^4 +1/3^4 -1/4^4 +1/5^4 -…
(5π^5)/1536=1-1/3^5 +1/5^5 -1/7^5 +⋯
π^6/960=1+1/3^6 +1/5^6 +1/7^6 +⋯
π^6/945=1+1/2^6 +1/3^6 +1/4^6 +1/5^6 +⋯
π^8/9450=1+1/2^8 +1/3^8 +1/4^8 +1/5^8 +..
(17π^8)/161280=1+1/3^8 +1/5^8 +1/7^8 +⋯
The first 48 binary (base 2) digits (called bits) are 11.001001000011111101101010100010001000010110100011… (see OEIS: A004601)
The first 20 digits in hexadecimal (base 16) are 3.243F6A8885A308D31319…[33] (see OEIS: A062964)
The first five sexagesimal (base 60) digits are 3;8,29,44,0,47[34] (see OEIS: A060707)
Digits: The first 50 decimal digits are 3.14159265358979323846264338327950288419716939937510…[32] (see OEIS: A000796)
π^10/93555=1+1/2^10 +1/3^10 +1/4^10 +1/5^10 +⋯
The first recorded algorithm for rigorously calculating the value of π was a geometrical approach using polygons, devised around 250 BC by the Greek mathematician Archimedes.[48] This polygonal algorithm dominated for over 1,000 years, and as a result π is sometimes referred to as “Archimedes’ constant”.[49]Archimedes computed upper and lower bounds of π by drawing a regular hexagon inside and outside a circle, and successively doubling the number of sides until he reached a 96-sided regular polygon. By calculating the perimeters of these polygons, he proved that 223/71 < π < 22/7 (that is 3.1408 < π < 3.1429).[50] Archimedes’ upper bound of 22/7 may have led to a widespread popular belief that π is equal to 22/7.[51