Vyxal, 84 bytes

1→a{←aø%`09489d5ee0abc5c04c6b3db76a86e212fb556517c07acac9c00f486af5a07fa2`≠|←a›→a}←a

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Iterates over all numbers until one is found with that SHA256 hash.

Python 3, 188 bytes

print(*b"CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?",sep="")

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Uses bytes literal for compression.

Knight, 195 bytes

;=s" CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?"W=sGsT LsO++''As'\'

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Vyxal, 108 bytes

¬⋎ »₅⇧ & ⟩₆ →ṗ: In ¬¾'s ɾṖ, λ•'ll be •₇ to ⟑Ẇ λλ ∧ṫ ƛ² ¬∪ AND ¦Ṡy AND ¶⊍ing ʁ꘍ ƛṅ...! λ∆ λ• »₅ers €æ?+Cṅ Needed to optimize the string little to compress it well

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Deadfish~, 1442 bytes

{{i}ddddd}iiiicicciicdddciicddciiicddddddcdciiiiicddddddciiiiiiciicddcdcic{d}iiiciiicdciciiiiicdddddcdciiiicicddddddccccdccicdciiiiicddddccdcicdciiiccdciiiicicddddddcdciiiiciiiiicddcddddddcdc{i}ddc{d}iiicdc{i}ddc{d}iiicdcicccdcicdciiicddcdciccciiiicciiicdddddcdciiiiicddddcddccdciiicdcdcciiiiicdddddccccdcc{i}dcddcddddddcicdciiciiiiiic{d}iicciiiicddcdc{i}dddcc{d}iicdciiiiciiiiicddcddddddcdc{i}ddc{d}iiicdc{i}ddc{d}iiicdcicccdcicdciiicddcdciciiiccdcdcdcicdcccccciiiiiicddddciiiiiic{d}iicdc{i}ddc{d}iiicdc{i}ddcdddddcdc{i}dddcdc{d}iiicdciciicdc{i}dddcddcddddddcciiiicddddcdc{i}dddcddddddcdciccdcciiicdcdcciiiiicdddddccciicdcdccicdcciiicdddcdciiiiicddddccdcicciiiiicdddcdcdcciiiiicdddddcdciiiicdddcdciciicdcdcdciicdccccdc{i}ddc{d}iiicdc{i}ddc{d}iiiccccc{i}ddc{d}iicdciiiiicddddccdcicdciiiccdcdcc{i}dddc{d}iiicdciccciiicdddcicdciicdcdcciiiicddddccicdcdcic{i}ddcc{d}iicdciiiiiciiiicddcddddddcdc{i}ddcdddddcdciiiicdciicicddciicdddddcdcdcciiiiicdddddcciiicdddcdciiiiiciiiicc{d}iicdc{i}dddcddddddcicdciicdciiiicdciicicddciicdddddcdcdcciiiiciiiicddcddddddcciiiiicdddddcdciiiiicddddcciiiicddddcdciicdcicdccdciiiiicddddccdcicdciiiccdciiiiiic{d}iicicciiicdddcdciiiiicddddcdc{i}dc{d}iicdciciicdciiiiicic{d}iiicciiiiiicddddddcdc{i}dccdc{d}iiicdciccciiicciicddciicddciicdddcccdciiiicdcddddcciiicdddcdciciicdcdcicdcccccciiiiiicddddcdcdcdciiicddccccdc{i}ddc{d}iiicdciicdcdciccciiicdddcciiiicddcdcdcciiicdddcdcic{i}ddcddcddddddcdccicicdciiiiicdddc{d}{d}i{c}cc

Perl 5, 190 bytes

say"CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?"=~s/./ord$&/ger

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05AB1E, 121 bytes

'€ƒuð.ø’CODE GOLF & Cod±µ Cí¤ÁÛ¡¾: In ƒÜ's ›Ý, €î'½ž €ï ‹Ð €„ …¢ €€ „— ‚Ò ƒÑÿÐËyÿËرµ P؆e Nuîв¡...! A‚™ €î Šˆ²¡s Žä?’ÇJ

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'€ƒuð.ø’...’ÇJ  # trimmed program
'€ƒ             # push "and"...
   u            # uppercase...
     .ø         # surrounded by...
    ð           # spaces
                # (ÿ in the long compressed string gets implicitly replaced with this)
             J  # join...
            Ç   # charcodes of...
       ’...’    # "CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?"
                # implicit output

_{The hardest part of this wasn't writing the code, it was trying to get the Markdown to work.}

Bash, 237 bytes

s="CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?";o=o
for((i=0;i<${#s};i++));do printf %d \'"${s:$i:${#o}}";done

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Port of Giuseppe's R answer.

Python 3, 202 196 bytes

Saved 6 bytes thanks to Manish Kundu!!!

print(*map(ord,"CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?"),sep='')

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Port of Giuseppe's R answer.

05AB1E, 93 bytes

”›ˆ‚³...!€™”‘€ƒ‘D”Âïªï:€†”‘ƒËŠˆ‘“ÿ & ÿƒÜ's›Ý,€î'll€ï‹Ð€„…¢€€„—‚ÒƒÑ ÿÐËy ÿËØing ÿ€îŠˆersŽä?“ÇJ

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Explanation:

”›ˆ‚³...!€™”  # Push (titlecased) dictionary string "Prime Number...! Are"
‘€ƒ‘D         # Push (uppercased) dictionary string "AND" and duplicate it
”Âïªï:€†”     # Push (titlecased) dictionary string "Coding Challenges: In"
‘ƒËŠˆ‘        # Push (uppercased) dictionary string "CODE GOLF"
“ÿ & ÿƒÜ's›Ý,€î'll€ï‹Ð€„…¢€€„—‚ÒƒÑ ÿÐËy ÿËØing ÿ€îŠˆersŽä?“
              # Push (regular) dictionary string "ÿ & ÿ today's challenge, you'll be asked to print the following very special ÿ tricky ÿ satisfying ÿ you golfers ready?",
              # where the ÿ are automatically filled with the strings on the stack
Ç             # Convert each character to its codepoint integer
J             # And join all those together
              # (after which the result is output implicitly)

See this 05AB1E tip of mine (section How to use the dictionary?) to understand why ”›ˆ‚³...!€™” is "Prime Number...! Are"; ‘€ƒ‘ is "AND"; ”Âïªï:€†” is "Coding Challenges: In"; ‘ƒËŠˆ‘ is "CODE GOLF"; and “ÿ & ÿƒÜ's›Ý,€î'll€ï‹Ð€„…¢€€„—‚ÒƒÑ ÿÐËy ÿËØing ÿ€îŠˆersŽä?“ is "ÿ & ÿ today's challenge, you'll be asked to print the following very special ÿ tricky ÿ satisfying ÿ you golfers ready?".

Pyth, 118 175 bytes

jkCM"CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?

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_{Due to a rushed answer, my original source didn't give the correct number. I was only checking the first and last numbers and assumed the rest was correct.}

x86-16 machine code, IBM PC DOS, 206 bytes

Binary:

00000000: be24 01b1 aaac d40a 5086 e0d4 0a05 3030  .$......P.....00
00000010: 86e0 3c30 7402 cd29 86e0 cd29 5804 30cd  ..<0t..)...)X.0.
00000020: 29e2 e2c3 434f 4445 2047 4f4c 4620 2620  )...CODE GOLF &
00000030: 436f 6469 6e67 2043 6861 6c6c 656e 6765  Coding Challenge
00000040: 733a 2049 6e20 746f 6461 7927 7320 6368  s: In today's ch
00000050: 616c 6c65 6e67 652c 2079 6f75 276c 6c20  allenge, you'll
00000060: 6265 2061 736b 6564 2074 6f20 7072 696e  be asked to prin
00000070: 7420 7468 6520 666f 6c6c 6f77 696e 6720  t the following
00000080: 7665 7279 2073 7065 6369 616c 2041 4e44  very special AND
00000090: 2074 7269 636b 7920 414e 4420 7361 7469   tricky AND sati
000000a0: 7366 7969 6e67 2050 7269 6d65 204e 756d  sfying Prime Num
000000b0: 6265 722e 2e2e 2120 4172 6520 796f 7520  ber...! Are you
000000c0: 676f 6c66 6572 7320 7265 6164 793f       golfers ready?

Listing:

BE 0124   MOV  SI, OFFSET TXT     ; string offset
B1 AA     MOV  CL, 170            ; string length
      CHAR_LOOP:
AC        LODSB                   ; AL = next char
D4 0A     AAM                     ; AL = AL % 10, AH = AL / 10
50        PUSH AX                 ; save units digits
86 E0     XCHG AH, AL             ; swap digits
D4 0A     AAM                     ; AL = AL % 10, AH = AL / 10
05 3030   ADD  AX, '00'           ; ASCII convert
86 E0     XCHG AH, AL             ; swap digits
3C 30     CMP  AL, '0'            ; is highest digit a '0'?
74 02     JZ   TWODIG             ; if so, don't display leading zero
CD 29     INT  29H                ; display hundreds digit
      TWODIG:
86 E0     XCHG AH, AL             ; swap digits
CD 29     INT  29H                ; display tens digit
58        POP  AX                 ; restore units digit
04 30     ADD  AL, '0'            ; ASCII convert
CD 29     INT  29H                ; display units digit
E2 E2     LOOP CHAR_LOOP          ; loop until end of string
C3        RET                     ; return to DOS
      TXT:
          DB 'CODE GOLF & Coding Challenges: In today',27H,'s challenge, '
          DB 'you',27H,'ll be asked to print the following very special '
          DB 'AND tricky AND satisfying Prime Number...! Are you golfers ready?'

PHP, 200 bytes

while($c=ord("CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?"[$i++]))echo$c;

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Python 2, 202 bytes

print''.join(`ord(x)`for x in"CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?")

Spoiler tag misinterprets the backticks and anyway, it's probably not necessary any more.

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Keg, 177 141 bytes

`CODE GOLF & Coding Challenges: In nL;'s r⊂;, you'll be 0⑵; to a⑱; the 1⟱; 0K; 4∀; AND ⬨⑺; AND Q&; Prime Number...! Are you :G;ers 1⑾;?`÷^(ⁿ.

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Yeah, it the same technique as everyone else. Now with string compression.

C (gcc), 213 211 210 211 bytes

f(){for(char*s="CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?";*s;)printf("%d",*s++);}

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Io, 186 bytes

"CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?"foreach(print)

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Explanation

Io's default syntax for defining strings actually defines a "sequence", that is basically a list of ord codes.

During foreach, Io treats every character of the sequence as it's respective ord code (don't believe it? try "abc"at(0))

"..."               // The big string, from other answers
     foreach(     ) // For every codepoint in this string:
             print  //     output this codepoint without a newline

R, 195 bytes

(SPOILER IF YOU WANT TO FIGURE IT OUT YOURSELF)

cat(utf8ToInt("CODE GOLF & Coding Challenges: In today's challenge, you'll be asked to print the following very special AND tricky AND satisfying Prime Number...! Are you golfers ready?"),sep="")

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Not the golfiest language to use for kolmogorov-complexity, but it does the trick.

Japt, 133 bytes

As will be the case with every solution to this, all credit here belongs to Giuseppe!

`CODE GOLF & CoÜA Câ%s: In Üþs å¡e, y'¥ ¼ k  pÎC e èÄg vy special AND Éky AND Ñsfyg PÎX Num¼r...! A y goÓÈs Î%y?`mc

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